137438953470 has 1024 divisors, whose sum is σ = 498871296000. Its totient is φ = 26121388032.

The previous prime is 137438953447. The next prime is 137438953481. The reversal of 137438953470 is 74359834731.

137438953470 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 38 + 9 + 534 + 70 = 666.

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

It is a nialpdrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1260907776 + ... + 1260907884.

It is an arithmetic number, because the mean of its divisors is an integer number (487179000).

Almost surely, 2^137438953470 is an apocalyptic number.

137438953470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137438953470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249435648000).

137438953470 is an abundant number, since it is smaller than the sum of its proper divisors (361432342530).

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

137438953470 is a wasteful number, since it uses less digits than its factorization.

137438953470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 137438953470 in words is "one hundred thirty-seven billion, four hundred thirty-eight million, nine hundred fifty-three thousand, four hundred seventy".