137566992 has 120 divisors (see below), whose sum is σ = 397983456. Its totient is φ = 40799232.

The previous prime is 137566987. The next prime is 137566993. The reversal of 137566992 is 299665731.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (137566993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294343 + ... + 294809.

Almost surely, 2^137566992 is an apocalyptic number.

137566992 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 137566992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198991728).

137566992 is an abundant number, since it is smaller than the sum of its proper divisors (260416464).

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

137566992 is a wasteful number, since it uses less digits than its factorization.

137566992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 508 counting only the distinct ones).

The product of its digits is 612360, while the sum is 48.

The square root of 137566992 is about 11728.8956001833. The cubic root of 137566992 is about 516.2238677664.

The spelling of 137566992 in words is "one hundred thirty-seven million, five hundred sixty-six thousand, nine hundred ninety-two".