137670192 has 280 divisors, whose sum is σ = 463519440. Its totient is φ = 39191040.

The previous prime is 137670167. The next prime is 137670271. The reversal of 137670192 is 291076731.

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 (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3720798 + ... + 3720834.

Almost surely, 2^137670192 is an apocalyptic number.

137670192 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 137670192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231759720).

137670192 is an abundant number, since it is smaller than the sum of its proper divisors (325849248).

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

137670192 is a wasteful number, since it uses less digits than its factorization.

137670192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 137670192 is about 11733.2941666013. The cubic root of 137670192 is about 516.3529224331.

The spelling of 137670192 in words is "one hundred thirty-seven million, six hundred seventy thousand, one hundred ninety-two".