137158128 has 30 divisors (see below), whose sum is σ = 383852664. Its totient is φ = 45719328.

The previous prime is 137158127. The next prime is 137158171. The reversal of 137158128 is 821851731.

137158128 is a `hidden beast` number, since 1 + 3 + 71 + 581 + 2 + 8 = 666.

137158128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 137158092 and 137158101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137158127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 476100 + ... + 476387.

Almost surely, 2^137158128 is an apocalyptic number.

137158128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137158128 is an abundant number, since it is smaller than the sum of its proper divisors (246694536).

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

137158128 is a wasteful number, since it uses less digits than its factorization.

137158128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952501 (or 952492 counting only the distinct ones).

The product of its digits is 13440, while the sum is 36.

The square root of 137158128 is about 11711.4528560721. The cubic root of 137158128 is about 515.7119358429.

The spelling of 137158128 in words is "one hundred thirty-seven million, one hundred fifty-eight thousand, one hundred twenty-eight".