137753312 has 48 divisors (see below), whose sum is σ = 289496592. Its totient is φ = 64296960.

The previous prime is 137753303. The next prime is 137753339. The reversal of 137753312 is 213357731.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70298 + ... + 72230.

It is an arithmetic number, because the mean of its divisors is an integer number (6031179).

Almost surely, 2^137753312 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 137753312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144748296).

137753312 is an abundant number, since it is smaller than the sum of its proper divisors (151743280).

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

137753312 is a wasteful number, since it uses less digits than its factorization.

137753312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2083 counting only the distinct ones).

The product of its digits is 13230, while the sum is 32.

The square root of 137753312 is about 11736.8356894011. The cubic root of 137753312 is about 516.4568195792.

It can be divided in two parts, 1377 and 53312, that multiplied together give a square (73410624 = 8568²).

The spelling of 137753312 in words is "one hundred thirty-seven million, seven hundred fifty-three thousand, three hundred twelve".