137032992 has 96 divisors (see below), whose sum is σ = 402192000. Its totient is φ = 45391104.

The previous prime is 137032991. The next prime is 137032993. The reversal of 137032992 is 299230731.

It is an interprime number because it is at equal distance from previous prime (137032991) and next prime (137032993).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×137032992³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (137032991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171538 + ... + 172334.

It is an arithmetic number, because the mean of its divisors is an integer number (4189500).

Almost surely, 2^137032992 is an apocalyptic number.

137032992 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 137032992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201096000).

137032992 is an abundant number, since it is smaller than the sum of its proper divisors (265159008).

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

137032992 is a wasteful number, since it uses less digits than its factorization.

137032992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 137032992 is about 11706.1091742731. The cubic root of 137032992 is about 515.5550518007. Note that the first 3 decimals are identical.

The spelling of 137032992 in words is "one hundred thirty-seven million, thirty-two thousand, nine hundred ninety-two".