137106432 has 264 divisors, whose sum is σ = 447064800. Its totient is φ = 41803776.

The previous prime is 137106401. The next prime is 137106433. The reversal of 137106432 is 234601731.

137106432 is a `hidden beast` number, since 1 + 3 + 7 + 10 + 643 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 137106396 and 137106405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137106433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4727794 + ... + 4727822.

Almost surely, 2^137106432 is an apocalyptic number.

137106432 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 137106432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223532400).

137106432 is an abundant number, since it is smaller than the sum of its proper divisors (309958368).

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

137106432 is an equidigital number, since it uses as much as digits as its factorization.

137106432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 137106432 is about 11709.2455777475. The cubic root of 137106432 is about 515.6471357109.

The spelling of 137106432 in words is "one hundred thirty-seven million, one hundred six thousand, four hundred thirty-two".