137756157840000 has 960 divisors, whose sum is σ = 591000141916800. Its totient is φ = 31487097600000.

The previous prime is 137756157839917. The next prime is 137756157840013. The reversal of 137756157840000 is 48751657731.

137756157840000 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 5 + 61 + 578 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 105189225 + ... + 106490775.

It is an arithmetic number, because the mean of its divisors is an integer number (615625147830).

Almost surely, 2^{137756157840000} is an apocalyptic number.

137756157840000 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 137756157840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295500070958400).

137756157840000 is an abundant number, since it is smaller than the sum of its proper divisors (453243984076800).

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

137756157840000 is an equidigital number, since it uses as much as digits as its factorization.

137756157840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301608 (or 1301568 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 137756157840000 in words is "one hundred thirty-seven trillion, seven hundred fifty-six billion, one hundred fifty-seven million, eight hundred forty thousand".