137779128 has 48 divisors (see below), whose sum is σ = 385195200. Its totient is φ = 44444160.

The previous prime is 137779111. The next prime is 137779133. The reversal of 137779128 is 821977731.

137779128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×137779128² = 37966176224880768, which contains 22 as substring.

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, 28633 + ... + 33096.

It is an arithmetic number, because the mean of its divisors is an integer number (8024900).

Almost surely, 2^137779128 is an apocalyptic number.

137779128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137779128 is an abundant number, since it is smaller than the sum of its proper divisors (247416072).

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

137779128 is a wasteful number, since it uses less digits than its factorization.

137779128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61772 (or 61765 counting only the distinct ones).

The product of its digits is 148176, while the sum is 45.

The square root of 137779128 is about 11737.9354232335. The cubic root of 137779128 is about 516.4890801864.

The spelling of 137779128 in words is "one hundred thirty-seven million, seven hundred seventy-nine thousand, one hundred twenty-eight".