137763939456 has 768 divisors, whose sum is σ = 494010316800. Its totient is φ = 37658234880.

The previous prime is 137763939437. The next prime is 137763939473. The reversal of 137763939456 is 654939367731.

137763939456 is a `hidden beast` number, since 1 + 37 + 7 + 63 + 93 + 9 + 456 = 666.

Its product of digits (77157360) is a multiple of the sum of its prime divisors (735).

It is a junction number, because it is equal to n+sod(n) for n = 137763939393 and 137763939402.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209049655 + ... + 209050313.

It is an arithmetic number, because the mean of its divisors is an integer number (643242600).

Almost surely, 2^137763939456 is an apocalyptic number.

137763939456 is a gapful number since it is divisible by the number (16) 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 137763939456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247005158400).

137763939456 is an abundant number, since it is smaller than the sum of its proper divisors (356246377344).

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

137763939456 is a wasteful number, since it uses less digits than its factorization.

137763939456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 735 counting only the distinct ones).

The product of its digits is 77157360, while the sum is 63.

The spelling of 137763939456 in words is "one hundred thirty-seven billion, seven hundred sixty-three million, nine hundred thirty-nine thousand, four hundred fifty-six".