137497052 has 48 divisors (see below), whose sum is σ = 305690112. Its totient is φ = 52553280.

The previous prime is 137497027. The next prime is 137497097. The reversal of 137497052 is 250794731.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 137496997 and 137497015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12113 + ... + 20535.

It is an arithmetic number, because the mean of its divisors is an integer number (6368544).

Almost surely, 2^137497052 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 137497052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152845056).

137497052 is an abundant number, since it is smaller than the sum of its proper divisors (168193060).

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

137497052 is a wasteful number, since it uses less digits than its factorization.

137497052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8498 (or 8496 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 137497052 is about 11725.9136957424. The cubic root of 137497052 is about 516.1363690209.

The spelling of 137497052 in words is "one hundred thirty-seven million, four hundred ninety-seven thousand, fifty-two".