137721792 has 112 divisors (see below), whose sum is σ = 409651200. Its totient is φ = 40516608.

The previous prime is 137721751. The next prime is 137721799. The reversal of 137721792 is 297127731.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 137721792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137721799) by changing a digit.

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, 56209 + ... + 58607.

It is an arithmetic number, because the mean of its divisors is an integer number (3657600).

Almost surely, 2^137721792 is an apocalyptic number.

137721792 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 137721792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204825600).

137721792 is an abundant number, since it is smaller than the sum of its proper divisors (271929408).

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

137721792 is a wasteful number, since it uses less digits than its factorization.

137721792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2440 counting only the distinct ones).

The product of its digits is 37044, while the sum is 39.

The square root of 137721792 is about 11735.4928315772. The cubic root of 137721792 is about 516.4174255821.

The spelling of 137721792 in words is "one hundred thirty-seven million, seven hundred twenty-one thousand, seven hundred ninety-two".