137378018131200 has 2376 divisors, whose sum is σ = 636035219015616. Its totient is φ = 28540035072000.

The previous prime is 137378018131153. The next prime is 137378018131213. The reversal of 137378018131200 is 2131810873731.

137378018131200 is a `hidden beast` number, since 1 + 37 + 378 + 0 + 18 + 1 + 31 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2376).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 29099344840 + ... + 29099349560.

Almost surely, 2^{137378018131200} is an apocalyptic number.

137378018131200 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 137378018131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318017609507808).

137378018131200 is an abundant number, since it is smaller than the sum of its proper divisors (498657200884416).

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

137378018131200 is an frugal number, since it uses more digits than its factorization.

137378018131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4795 (or 4749 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 137378018131200 in words is "one hundred thirty-seven trillion, three hundred seventy-eight billion, eighteen million, one hundred thirty-one thousand, two hundred".