137405976480 has 960 divisors, whose sum is σ = 529964376480. Its totient is φ = 33443020800.

The previous prime is 137405976479. The next prime is 137405976497. The reversal of 137405976480 is 84679504731.

137405976480 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 0 + 597 + 6 + 48 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 21988144656 + 115417831824 = 148284^2 + 339732^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 570149160 + ... + 570149400.

Almost surely, 2^137405976480 is an apocalyptic number.

137405976480 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 137405976480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264982188240).

137405976480 is an abundant number, since it is smaller than the sum of its proper divisors (392558400000).

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

137405976480 is a wasteful number, since it uses less digits than its factorization.

137405976480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 137405976480 in words is "one hundred thirty-seven billion, four hundred five million, nine hundred seventy-six thousand, four hundred eighty".