137506032 has 40 divisors (see below), whose sum is σ = 394694480. Its totient is φ = 45835200.

The previous prime is 137506003. The next prime is 137506063. The reversal of 137506032 is 230605731.

It is a happy number.

137506032 is a `hidden beast` number, since 1 + 3 + 7 + 50 + 603 + 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 = 137505987 and 137506005.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 158719 + ... + 159582.

It is an arithmetic number, because the mean of its divisors is an integer number (9867362).

Almost surely, 2^137506032 is an apocalyptic number.

137506032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137506032 is an abundant number, since it is smaller than the sum of its proper divisors (257188448).

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

137506032 is a wasteful number, since it uses less digits than its factorization.

137506032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318318 (or 318306 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 137506032 is about 11726.2966020820. The cubic root of 137506032 is about 516.1476051495.

The spelling of 137506032 in words is "one hundred thirty-seven million, five hundred six thousand, thirty-two".