137683392 has 224 divisors, whose sum is σ = 464271360. Its totient is φ = 34974720.

The previous prime is 137683349. The next prime is 137683397. The reversal of 137683392 is 293386731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137683397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 990459 + ... + 990597.

It is an arithmetic number, because the mean of its divisors is an integer number (2072640).

Almost surely, 2^137683392 is an apocalyptic number.

137683392 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 137683392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232135680).

137683392 is an abundant number, since it is smaller than the sum of its proper divisors (326587968).

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

137683392 is a wasteful number, since it uses less digits than its factorization.

137683392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 137683392 is about 11733.8566549963. The cubic root of 137683392 is about 516.3694247727.

It can be divided in two parts, 137683 and 392, that added together give a triangular number (138075 = T₅₂₅).

The spelling of 137683392 in words is "one hundred thirty-seven million, six hundred eighty-three thousand, three hundred ninety-two".