137580480000 has 1200 divisors, whose sum is σ = 542425568256. Its totient is φ = 33454080000.

The previous prime is 137580479917. The next prime is 137580480041. The reversal of 137580480000 is 84085731.

137580480000 is a `hidden beast` number, since 1 + 37 + 580 + 48 + 0 + 0 + 0 + 0 = 666.

137580480000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2053439967 + ... + 2053440033.

Almost surely, 2^137580480000 is an apocalyptic number.

137580480000 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 137580480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271212784128).

137580480000 is an abundant number, since it is smaller than the sum of its proper divisors (404845088256).

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

137580480000 is an equidigital number, since it uses as much as digits as its factorization.

137580480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 137580480000 in words is "one hundred thirty-seven billion, five hundred eighty million, four hundred eighty thousand".