137195838 has 48 divisors (see below), whose sum is σ = 320969376. Its totient is φ = 42102720.

The previous prime is 137195809. The next prime is 137195857. The reversal of 137195838 is 838591731.

137195838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 137195793 and 137195802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154231 + ... + 155117.

It is an arithmetic number, because the mean of its divisors is an integer number (6686862).

Almost surely, 2^137195838 is an apocalyptic number.

137195838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

137195838 is an abundant number, since it is smaller than the sum of its proper divisors (183773538).

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

137195838 is a wasteful number, since it uses less digits than its factorization.

137195838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1566 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 137195838 is about 11713.0627079342. The cubic root of 137195838 is about 515.7591944715.

It can be divided in two parts, 1371958 and 38, that added together give a triangular number (1371996 = T₁₆₅₆).

The spelling of 137195838 in words is "one hundred thirty-seven million, one hundred ninety-five thousand, eight hundred thirty-eight".