137254780800000 has 528 divisors, whose sum is σ = 508070622961440. Its totient is φ = 36601251840000.

The previous prime is 137254780799987. The next prime is 137254780800019. The reversal of 137254780800000 is 8087452731.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85605702 + ... + 87194298.

It is an arithmetic number, because the mean of its divisors is an integer number (962254967730).

Almost surely, 2^{137254780800000} is an apocalyptic number.

137254780800000 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 137254780800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254035311480720).

137254780800000 is an abundant number, since it is smaller than the sum of its proper divisors (370815842161440).

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

137254780800000 is an frugal number, since it uses more digits than its factorization.

137254780800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588651 (or 1588607 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 137254780800000 in words is "one hundred thirty-seven trillion, two hundred fifty-four billion, seven hundred eighty million, eight hundred thousand".