137504952 has 96 divisors (see below), whose sum is σ = 415986480. Its totient is φ = 42301440.

The previous prime is 137504929. The next prime is 137504977. The reversal of 137504952 is 259405731.

It is a super-2 number, since 2×137504952² = 37815223649044608, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 22552 + ... + 27992.

Almost surely, 2^137504952 is an apocalyptic number.

137504952 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 137504952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207993240).

137504952 is an abundant number, since it is smaller than the sum of its proper divisors (278481528).

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

137504952 is a wasteful number, since it uses less digits than its factorization.

137504952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5475 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 137504952 is about 11726.2505516469. The cubic root of 137504952 is about 516.1462538370.

The spelling of 137504952 in words is "one hundred thirty-seven million, five hundred four thousand, nine hundred fifty-two".