147492 has 36 divisors (see below), whose sum is σ = 396396. Its totient is φ = 46080.

The previous prime is 147487. The next prime is 147503. The reversal of 147492 is 294741.

It is a happy number.

147492 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 2 ways, for example, as 112896 + 34596 = 336^2 + 186^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 147492.

It is an unprimeable number.

147492 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 492 + ... + 732.

It is an arithmetic number, because the mean of its divisors is an integer number (11011).

147492 is a Friedman number, since it can be written as 9*(4^7+4*(2-1)), using all its digits and the basic arithmetic operations.

2¹⁴⁷⁴⁹² is an apocalyptic number.

147492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198198).

147492 is an abundant number, since it is smaller than the sum of its proper divisors (248904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

147492 is a wasteful number, since it uses less digits than its factorization.

147492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 263 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 147492 is about 384.0468721393. The cubic root of 147492 is about 52.8351350169.

The spelling of 147492 in words is "one hundred forty-seven thousand, four hundred ninety-two".