137978847360 has 640 divisors, whose sum is σ = 530899522560. Its totient is φ = 34050170880.

The previous prime is 137978847353. The next prime is 137978847373. The reversal of 137978847360 is 63748879731.

137978847360 is a `hidden beast` number, since 1 + 37 + 9 + 78 + 8 + 473 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36960054 + ... + 36963786.

It is an arithmetic number, because the mean of its divisors is an integer number (829530504).

Almost surely, 2^137978847360 is an apocalyptic number.

137978847360 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 137978847360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265449761280).

137978847360 is an abundant number, since it is smaller than the sum of its proper divisors (392920675200).

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

137978847360 is a wasteful number, since it uses less digits than its factorization.

137978847360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3818 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 137978847360 in words is "one hundred thirty-seven billion, nine hundred seventy-eight million, eight hundred forty-seven thousand, three hundred sixty".