137923768634400 has 2304 divisors, whose sum is σ = 627709824000000. Its totient is φ = 28497912791040.

The previous prime is 137923768634357. The next prime is 137923768634437. The reversal of 137923768634400 is 4436867329731.

It is a happy number.

137923768634400 is a `hidden beast` number, since 1 + 3 + 7 + 92 + 37 + 6 + 86 + 34 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 29667403276 + ... + 29667407924.

It is an arithmetic number, because the mean of its divisors is an integer number (272443500000).

Almost surely, 2^{137923768634400} is an apocalyptic number.

137923768634400 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 137923768634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313854912000000).

137923768634400 is an abundant number, since it is smaller than the sum of its proper divisors (489786055365600).

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

137923768634400 is a wasteful number, since it uses less digits than its factorization.

137923768634400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5176 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 137923768634400 in words is "one hundred thirty-seven trillion, nine hundred twenty-three billion, seven hundred sixty-eight million, six hundred thirty-four thousand, four hundred".