137475738 has 64 divisors (see below), whose sum is σ = 323481600. Its totient is φ = 43187760.

The previous prime is 137475727. The next prime is 137475739. The reversal of 137475738 is 837574731.

137475738 is a `hidden beast` number, since 1 + 3 + 74 + 7 + 573 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 137475693 and 137475702.

It is not an unprimeable number, because it can be changed into a prime (137475739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87403 + ... + 88961.

It is an arithmetic number, because the mean of its divisors is an integer number (5054400).

Almost surely, 2^137475738 is an apocalyptic number.

137475738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137475738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161740800).

137475738 is an abundant number, since it is smaller than the sum of its proper divisors (186005862).

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

137475738 is a wasteful number, since it uses less digits than its factorization.

137475738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1658 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 137475738 is about 11725.0048187623. The cubic root of 137475738 is about 516.1096981483.

The spelling of 137475738 in words is "one hundred thirty-seven million, four hundred seventy-five thousand, seven hundred thirty-eight".