137052016 has 20 divisors (see below), whose sum is σ = 279514600. Its totient is φ = 64919232.

The previous prime is 137051989. The next prime is 137052029. The reversal of 137052016 is 610250731.

137052016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 225111 + ... + 225718.

It is an arithmetic number, because the mean of its divisors is an integer number (13975730).

Almost surely, 2^137052016 is an apocalyptic number.

137052016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137052016 is an abundant number, since it is smaller than the sum of its proper divisors (142462584).

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

137052016 is a wasteful number, since it uses less digits than its factorization.

137052016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450856 (or 450850 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 137052016 is about 11706.9217132430. The cubic root of 137052016 is about 515.5789085020.

The spelling of 137052016 in words is "one hundred thirty-seven million, fifty-two thousand, sixteen".