137711952 has 180 divisors, whose sum is σ = 464473620. Its totient is φ = 37933056.

The previous prime is 137711947. The next prime is 137711963. The reversal of 137711952 is 259117731.

It can be written as a sum of positive squares in 2 ways, for example, as 58430736 + 79281216 = 7644^2 + 8904^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 204288 + ... + 204960.

It is an arithmetic number, because the mean of its divisors is an integer number (2580409).

Almost surely, 2^137711952 is an apocalyptic number.

137711952 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 137711952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232236810).

137711952 is an abundant number, since it is smaller than the sum of its proper divisors (326761668).

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

137711952 is a wasteful number, since it uses less digits than its factorization.

137711952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 714 counting only the distinct ones).

The product of its digits is 13230, while the sum is 36.

The square root of 137711952 is about 11735.0735830671. The cubic root of 137711952 is about 516.4051262250.

The spelling of 137711952 in words is "one hundred thirty-seven million, seven hundred eleven thousand, nine hundred fifty-two".