137552712 has 64 divisors (see below), whose sum is σ = 397224000. Its totient is φ = 39229440.

The previous prime is 137552711. The next prime is 137552731. The reversal of 137552712 is 217255731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (137552711) 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, 10837 + ... + 19812.

It is an arithmetic number, because the mean of its divisors is an integer number (6206625).

Almost surely, 2^137552712 is an apocalyptic number.

137552712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137552712 is an abundant number, since it is smaller than the sum of its proper divisors (259671288).

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

137552712 is a wasteful number, since it uses less digits than its factorization.

137552712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30686 (or 30682 counting only the distinct ones).

The product of its digits is 14700, while the sum is 33.

The square root of 137552712 is about 11728.2868314175. The cubic root of 137552712 is about 516.2060051192.

The spelling of 137552712 in words is "one hundred thirty-seven million, five hundred fifty-two thousand, seven hundred twelve".