137481192 has 64 divisors (see below), whose sum is σ = 387168000. Its totient is φ = 45194112.

The previous prime is 137481173. The next prime is 137481203. The reversal of 137481192 is 291184731.

It is a happy number.

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

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 15 ways as a sum of consecutive naturals, for example, 11409 + ... + 20127.

It is an arithmetic number, because the mean of its divisors is an integer number (6049500).

Almost surely, 2^137481192 is an apocalyptic number.

137481192 is a gapful number since it is divisible by the number (12) 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 137481192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193584000).

137481192 is an abundant number, since it is smaller than the sum of its proper divisors (249686808).

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

137481192 is a wasteful number, since it uses less digits than its factorization.

137481192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8807 (or 8797 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 137481192 is about 11725.2373963174. The cubic root of 137481192 is about 516.1165231710.

The spelling of 137481192 in words is "one hundred thirty-seven million, four hundred eighty-one thousand, one hundred ninety-two".