137961792 has 98 divisors (see below), whose sum is σ = 410602938. Its totient is φ = 45971712.

The previous prime is 137961781. The next prime is 137961821. The reversal of 137961792 is 297169731.

It can be written as a sum of positive squares in only one way, i.e., 98724096 + 39237696 = 9936^2 + 6264^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 45178 + ... + 48134.

Almost surely, 2^137961792 is an apocalyptic number.

137961792 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 137961792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205301469).

137961792 is an abundant number, since it is smaller than the sum of its proper divisors (272641146).

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

137961792 is an frugal number, since it uses more digits than its factorization.

137961792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987 (or 2962 counting only the distinct ones).

The product of its digits is 142884, while the sum is 45.

The square root of 137961792 is about 11745.7137714147. The cubic root of 137961792 is about 516.7172286741.

The spelling of 137961792 in words is "one hundred thirty-seven million, nine hundred sixty-one thousand, seven hundred ninety-two".