152262000 has 240 divisors, whose sum is σ = 580900320. Its totient is φ = 36864000.

The previous prime is 152261981. The next prime is 152262007. The reversal of 152262000 is 262251.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152262007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197616 + ... + 198384.

It is an arithmetic number, because the mean of its divisors is an integer number (2420418).

Almost surely, 2^152262000 is an apocalyptic number.

152262000 is a gapful number since it is divisible by the number (10) 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 152262000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290450160).

152262000 is an abundant number, since it is smaller than the sum of its proper divisors (428638320).

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

152262000 is a wasteful number, since it uses less digits than its factorization.

152262000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 152262000 is about 12339.4489342110. The cubic root of 152262000 is about 533.9867858532.

The spelling of 152262000 in words is "one hundred fifty-two million, two hundred sixty-two thousand".