137664000 has 240 divisors, whose sum is σ = 497914560. Its totient is φ = 36556800.

The previous prime is 137663989. The next prime is 137664001. The reversal of 137664000 is 466731.

137664000 is a `hidden beast` number, since 13 + 7 + 6 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137664001) 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, 575881 + ... + 576119.

It is an arithmetic number, because the mean of its divisors is an integer number (2074644).

Almost surely, 2^137664000 is an apocalyptic number.

137664000 is a gapful number since it is divisible by the number (10) 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 137664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248957280).

137664000 is an abundant number, since it is smaller than the sum of its proper divisors (360250560).

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

137664000 is an equidigital number, since it uses as much as digits as its factorization.

137664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 137664000 is about 11733.0302991171. The cubic root of 137664000 is about 516.3451809722.

It can be divided in two parts, 13766 and 4000, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 137664000 in words is "one hundred thirty-seven million, six hundred sixty-four thousand".