137812992 has 88 divisors (see below), whose sum is σ = 371505936. Its totient is φ = 45416448.

The previous prime is 137812991. The next prime is 137813003. The reversal of 137812992 is 299218731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137812991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 346938 + ... + 347334.

Almost surely, 2^137812992 is an apocalyptic number.

137812992 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 137812992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185752968).

137812992 is an abundant number, since it is smaller than the sum of its proper divisors (233692944).

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

137812992 is a wasteful number, since it uses less digits than its factorization.

137812992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 515 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The square root of 137812992 is about 11739.3778370065. The cubic root of 137812992 is about 516.5313917559.

The spelling of 137812992 in words is "one hundred thirty-seven million, eight hundred twelve thousand, nine hundred ninety-two".