137085152 has 48 divisors (see below), whose sum is σ = 296472960. Its totient is φ = 62105472.

The previous prime is 137085121. The next prime is 137085163. The reversal of 137085152 is 251580731.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9083 + ... + 18885.

It is an arithmetic number, because the mean of its divisors is an integer number (6176520).

Almost surely, 2^137085152 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 137085152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148236480).

137085152 is an abundant number, since it is smaller than the sum of its proper divisors (159387808).

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

137085152 is a wasteful number, since it uses less digits than its factorization.

137085152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9855 (or 9847 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 137085152 is about 11708.3368588370. The cubic root of 137085152 is about 515.6204568293.

The spelling of 137085152 in words is "one hundred thirty-seven million, eighty-five thousand, one hundred fifty-two".