137294192 has 40 divisors (see below), whose sum is σ = 306230400. Its totient is φ = 58410432.

The previous prime is 137294173. The next prime is 137294231. The reversal of 137294192 is 291492731.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11159 + ... + 19977.

It is an arithmetic number, because the mean of its divisors is an integer number (7655760).

Almost surely, 2^137294192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137294192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153115200).

137294192 is an abundant number, since it is smaller than the sum of its proper divisors (168936208).

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

137294192 is a wasteful number, since it uses less digits than its factorization.

137294192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8973 (or 8967 counting only the distinct ones).

The product of its digits is 27216, while the sum is 38.

The square root of 137294192 is about 11717.2604306638. The cubic root of 137294192 is about 515.8824121617.

It can be divided in two parts, 1372 and 94192, that multiplied together give a square (129231424 = 11368²).

The spelling of 137294192 in words is "one hundred thirty-seven million, two hundred ninety-four thousand, one hundred ninety-two".