137191392 has 72 divisors (see below), whose sum is σ = 420160104. Its totient is φ = 42211584.

The previous prime is 137191387. The next prime is 137191393. The reversal of 137191392 is 293191731.

It is a happy number.

137191392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137191393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14578 + ... + 22065.

It is an arithmetic number, because the mean of its divisors is an integer number (5835557).

Almost surely, 2^137191392 is an apocalyptic number.

137191392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137191392 is an abundant number, since it is smaller than the sum of its proper divisors (282968712).

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

137191392 is a wasteful number, since it uses less digits than its factorization.

137191392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36672 (or 36661 counting only the distinct ones).

The product of its digits is 10206, while the sum is 36.

The square root of 137191392 is about 11712.8729182895. The cubic root of 137191392 is about 515.7536231408.

The spelling of 137191392 in words is "one hundred thirty-seven million, one hundred ninety-one thousand, three hundred ninety-two".