137675052 has 72 divisors (see below), whose sum is σ = 363854400. Its totient is φ = 45516816.

The previous prime is 137675051. The next prime is 137675099. The reversal of 137675052 is 250576731.

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

It is a junction number, because it is equal to n+sod(n) for n = 137674998 and 137675016.

It is not an unprimeable number, because it can be changed into a prime (137675051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134599 + ... + 135617.

Almost surely, 2^137675052 is an apocalyptic number.

137675052 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 137675052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181927200).

137675052 is an abundant number, since it is smaller than the sum of its proper divisors (226179348).

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

137675052 is a wasteful number, since it uses less digits than its factorization.

137675052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 137675052 is about 11733.5012677376. The cubic root of 137675052 is about 516.3589984172.

The spelling of 137675052 in words is "one hundred thirty-seven million, six hundred seventy-five thousand, fifty-two".