137772960 has 96 divisors (see below), whose sum is σ = 467389440. Its totient is φ = 33911808.

The previous prime is 137772949. The next prime is 137772977. The reversal of 137772960 is 69277731.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4800 + ... + 17279.

It is an arithmetic number, because the mean of its divisors is an integer number (4868640).

Almost surely, 2^137772960 is an apocalyptic number.

137772960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137772960 is an abundant number, since it is smaller than the sum of its proper divisors (329616480).

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

137772960 is a wasteful number, since it uses less digits than its factorization.

137772960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22110 (or 22102 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 42.

The square root of 137772960 is about 11737.6726824358. The cubic root of 137772960 is about 516.4813727969.

The spelling of 137772960 in words is "one hundred thirty-seven million, seven hundred seventy-two thousand, nine hundred sixty".