135472992 has 48 divisors (see below), whose sum is σ = 360138240. Its totient is φ = 44583552.

The previous prime is 135472991. The next prime is 135472999. The reversal of 135472992 is 299274531.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×135472992² = 36705863122864128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135472991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1348 + ... + 16515.

It is an arithmetic number, because the mean of its divisors is an integer number (7502880).

Almost surely, 2^135472992 is an apocalyptic number.

135472992 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 135472992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180069120).

135472992 is an abundant number, since it is smaller than the sum of its proper divisors (224665248).

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

135472992 is a wasteful number, since it uses less digits than its factorization.

135472992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17955 (or 17947 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 135472992 is about 11639.2865760750. The cubic root of 135472992 is about 513.5912004393.

The spelling of 135472992 in words is "one hundred thirty-five million, four hundred seventy-two thousand, nine hundred ninety-two".