137157008 has 30 divisors (see below), whose sum is σ = 275248194. Its totient is φ = 66207232.

The previous prime is 137156993. The next prime is 137157017. The reversal of 137157008 is 800751731.

It can be written as a sum of positive squares in 3 ways, for example, as 34904464 + 102252544 = 5908^2 + 10112^2 .

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 5 ways as a sum of consecutive naturals, for example, 8360 + ... + 18552.

Almost surely, 2^137157008 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 137157008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137624097).

137157008 is an abundant number, since it is smaller than the sum of its proper divisors (138091186).

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

137157008 is a wasteful number, since it uses less digits than its factorization.

137157008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10259 (or 10224 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 32.

The square root of 137157008 is about 11711.4050395330. The cubic root of 137157008 is about 515.7105321129.

The spelling of 137157008 in words is "one hundred thirty-seven million, one hundred fifty-seven thousand, eight".