137962752 has 72 divisors (see below), whose sum is σ = 388817856. Its totient is φ = 43278336.

The previous prime is 137962739. The next prime is 137962757. The reversal of 137962752 is 257269731.

137962752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137962757) 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, 7773 + ... + 18339.

It is an arithmetic number, because the mean of its divisors is an integer number (5400248).

Almost surely, 2^137962752 is an apocalyptic number.

137962752 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 137962752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194408928).

137962752 is an abundant number, since it is smaller than the sum of its proper divisors (250855104).

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

137962752 is a wasteful number, since it uses less digits than its factorization.

137962752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10603 (or 10589 counting only the distinct ones).

The product of its digits is 158760, while the sum is 42.

The square root of 137962752 is about 11745.7546373147. The cubic root of 137962752 is about 516.7184271881.

The spelling of 137962752 in words is "one hundred thirty-seven million, nine hundred sixty-two thousand, seven hundred fifty-two".