137157188 has 48 divisors (see below), whose sum is σ = 289578240. Its totient is φ = 55570944.

The previous prime is 137157179. The next prime is 137157191. The reversal of 137157188 is 881751731.

It is a happy number.

It is a zygodrome in base 13.

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, 56120 + ... + 58512.

It is an arithmetic number, because the mean of its divisors is an integer number (6032880).

Almost surely, 2^137157188 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 137157188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144789120).

137157188 is an abundant number, since it is smaller than the sum of its proper divisors (152421052).

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

137157188 is a wasteful number, since it uses less digits than its factorization.

137157188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2514 counting only the distinct ones).

The product of its digits is 47040, while the sum is 41.

The square root of 137157188 is about 11711.4127243471. The cubic root of 137157188 is about 515.7107577129.

The spelling of 137157188 in words is "one hundred thirty-seven million, one hundred fifty-seven thousand, one hundred eighty-eight".