137052032 has 64 divisors (see below), whose sum is σ = 306905760. Its totient is φ = 60487680.

The previous prime is 137052029. The next prime is 137052037. The reversal of 137052032 is 230250731.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×137052032³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 137051989 and 137052007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137052037) 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, 36482 + ... + 40062.

Almost surely, 2^137052032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153452880).

137052032 is an abundant number, since it is smaller than the sum of its proper divisors (169853728).

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

137052032 is a wasteful number, since it uses less digits than its factorization.

137052032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 137052032 is about 11706.9223965994. The cubic root of 137052032 is about 515.5789285656.

The spelling of 137052032 in words is "one hundred thirty-seven million, fifty-two thousand, thirty-two".