137714304 has 192 divisors, whose sum is σ = 459073440. Its totient is φ = 36255744.

The previous prime is 137714303. The next prime is 137714323. The reversal of 137714304 is 403417731.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (137714303) 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, 244327 + ... + 244889.

Almost surely, 2^137714304 is an apocalyptic number.

137714304 is a gapful number since it is divisible by the number (14) 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 137714304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229536720).

137714304 is an abundant number, since it is smaller than the sum of its proper divisors (321359136).

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

137714304 is a wasteful number, since it uses less digits than its factorization.

137714304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 137714304 is about 11735.1737950488. The cubic root of 137714304 is about 516.4080661246.

The spelling of 137714304 in words is "one hundred thirty-seven million, seven hundred fourteen thousand, three hundred four".