137429376 has 256 divisors, whose sum is σ = 452390400. Its totient is φ = 36126720.

The previous prime is 137429353. The next prime is 137429381. The reversal of 137429376 is 673924731.

137429376 is digitally balanced in base 3, 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 (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3196011 + ... + 3196053.

It is an arithmetic number, because the mean of its divisors is an integer number (1767150).

Almost surely, 2^137429376 is an apocalyptic number.

137429376 is a gapful number since it is divisible by the number (16) 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 137429376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226195200).

137429376 is an abundant number, since it is smaller than the sum of its proper divisors (314961024).

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

137429376 is a wasteful number, since it uses less digits than its factorization.

137429376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its digits is 190512, while the sum is 42.

The square root of 137429376 is about 11723.0275952929. The cubic root of 137429376 is about 516.0516744115.

The spelling of 137429376 in words is "one hundred thirty-seven million, four hundred twenty-nine thousand, three hundred seventy-six".