137056153 has 8 divisors (see below), whose sum is σ = 151199496. Its totient is φ = 123427200.

The previous prime is 137056151. The next prime is 137056163. The reversal of 137056153 is 351650731.

137056153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6365529 + 130690624 = 2523^2 + 11432^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 137056153 - 2¹ = 137056151 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137056151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128038 + ... + 129103.

It is an arithmetic number, because the mean of its divisors is an integer number (18899937).

Almost surely, 2^137056153 is an apocalyptic number.

137056153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137056153 is a deficient number, since it is larger than the sum of its proper divisors (14143343).

137056153 is a wasteful number, since it uses less digits than its factorization.

137056153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257195.

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 137056153 is about 11707.0984022515. The cubic root of 137056153 is about 515.5840961394.

The spelling of 137056153 in words is "one hundred thirty-seven million, fifty-six thousand, one hundred fifty-three".