137628153 has 48 divisors (see below), whose sum is σ = 233804480. Its totient is φ = 80201664.

The previous prime is 137628149. The next prime is 137628167. The reversal of 137628153 is 351826731.

137628153 is a `hidden beast` number, since 1 + 376 + 281 + 5 + 3 = 666.

It is not a de Polignac number, because 137628153 - 2² = 137628149 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137628053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58875 + ... + 61167.

Almost surely, 2^137628153 is an apocalyptic number.

137628153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137628153 is a deficient number, since it is larger than the sum of its proper divisors (96176327).

137628153 is a wasteful number, since it uses less digits than its factorization.

137628153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2328 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 137628153 is about 11731.5025891827. The cubic root of 137628153 is about 516.3003592020.

The spelling of 137628153 in words is "one hundred thirty-seven million, six hundred twenty-eight thousand, one hundred fifty-three".