137352960 has 108 divisors (see below), whose sum is σ = 475266792. Its totient is φ = 36624384.

The previous prime is 137352959. The next prime is 137352983. The reversal of 137352960 is 69253731.

137352960 is a `hidden beast` number, since 1 + 3 + 73 + 529 + 60 = 666.

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 11 ways as a sum of consecutive naturals, for example, 5559 + ... + 17481.

Almost surely, 2^137352960 is an apocalyptic number.

137352960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237633396).

137352960 is an abundant number, since it is smaller than the sum of its proper divisors (337913832).

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

137352960 is a wasteful number, since it uses less digits than its factorization.

137352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11950 (or 11933 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 137352960 is about 11719.7679157908. The cubic root of 137352960 is about 515.9560085085.

The spelling of 137352960 in words is "one hundred thirty-seven million, three hundred fifty-two thousand, nine hundred sixty".