137253120 has 144 divisors (see below), whose sum is σ = 452884992. Its totient is φ = 35389440.

The previous prime is 137253097. The next prime is 137253191. The reversal of 137253120 is 21352731.

137253120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118464 + ... + 119616.

Almost surely, 2^137253120 is an apocalyptic number.

137253120 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 137253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226442496).

137253120 is an abundant number, since it is smaller than the sum of its proper divisors (315631872).

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

137253120 is a wasteful number, since it uses less digits than its factorization.

137253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 137253120 is about 11715.5076714584. The cubic root of 137253120 is about 515.8309644024.

The spelling of 137253120 in words is "one hundred thirty-seven million, two hundred fifty-three thousand, one hundred twenty".