137738160 has 120 divisors (see below), whose sum is σ = 528671520. Its totient is φ = 31481856.

The previous prime is 137738143. The next prime is 137738213. The reversal of 137738160 is 61837731.

137738160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8625 + ... + 18704.

It is an arithmetic number, because the mean of its divisors is an integer number (4405596).

Almost surely, 2^137738160 is an apocalyptic number.

137738160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137738160 is an abundant number, since it is smaller than the sum of its proper divisors (390933360).

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

137738160 is a wasteful number, since it uses less digits than its factorization.

137738160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27355 (or 27346 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 137738160 is about 11736.1901825081. The cubic root of 137738160 is about 516.4378832150.

The spelling of 137738160 in words is "one hundred thirty-seven million, seven hundred thirty-eight thousand, one hundred sixty".