137836464480 has 1536 divisors, whose sum is σ = 603542016000. Its totient is φ = 28904325120.

The previous prime is 137836464449. The next prime is 137836464509. The reversal of 137836464480 is 84464638731.

137836464480 is a `hidden beast` number, since 1 + 3 + 78 + 36 + 4 + 64 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1264554666 + ... + 1264554774.

It is an arithmetic number, because the mean of its divisors is an integer number (392931000).

Almost surely, 2^137836464480 is an apocalyptic number.

137836464480 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 137836464480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301771008000).

137836464480 is an abundant number, since it is smaller than the sum of its proper divisors (465705551520).

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

137836464480 is a wasteful number, since it uses less digits than its factorization.

137836464480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 137836464480 in words is "one hundred thirty-seven billion, eight hundred thirty-six million, four hundred sixty-four thousand, four hundred eighty".