137478467790720 has 512 divisors, whose sum is σ = 557234754048000. Its totient is φ = 31379925270528.

The previous prime is 137478467790647. The next prime is 137478467790733. The reversal of 137478467790720 is 27097764874731.

137478467790720 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 7 + 8 + 467 + 7 + 90 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86179864 + ... + 87760616.

It is an arithmetic number, because the mean of its divisors is an integer number (1088349129000).

Almost surely, 2^{137478467790720} is an apocalyptic number.

137478467790720 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 137478467790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278617377024000).

137478467790720 is an abundant number, since it is smaller than the sum of its proper divisors (419756286257280).

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

137478467790720 is a wasteful number, since it uses less digits than its factorization.

137478467790720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581507 (or 1581489 counting only the distinct ones).

The product of its (nonzero) digits is 697019904, while the sum is 72.

The spelling of 137478467790720 in words is "one hundred thirty-seven trillion, four hundred seventy-eight billion, four hundred sixty-seven million, seven hundred ninety thousand, seven hundred twenty".