137478116880 has 480 divisors, whose sum is σ = 515839484160. Its totient is φ = 32579850240.

The previous prime is 137478116879. The next prime is 137478116903. The reversal of 137478116880 is 88611874731.

137478116880 is a `hidden beast` number, since 1 + 3 + 7 + 478 + 1 + 168 + 8 + 0 = 666.

137478116880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 154991797 + ... + 154992683.

It is an arithmetic number, because the mean of its divisors is an integer number (1074665592).

Almost surely, 2^137478116880 is an apocalyptic number.

137478116880 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 137478116880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257919742080).

137478116880 is an abundant number, since it is smaller than the sum of its proper divisors (378361367280).

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

137478116880 is a wasteful number, since it uses less digits than its factorization.

137478116880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 137478116880 in words is "one hundred thirty-seven billion, four hundred seventy-eight million, one hundred sixteen thousand, eight hundred eighty".