137469394944 has 640 divisors, whose sum is σ = 482127888000. Its totient is φ = 39016857600.

The previous prime is 137469394919. The next prime is 137469394969. The reversal of 137469394944 is 449493964731.

137469394944 is a `hidden beast` number, since 1 + 374 + 6 + 93 + 94 + 94 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (137469394919) and next prime (137469394969).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 910393269 + ... + 910393419.

It is an arithmetic number, because the mean of its divisors is an integer number (753324825).

Almost surely, 2^137469394944 is an apocalyptic number.

137469394944 is a gapful number since it is divisible by the number (14) 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 137469394944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241063944000).

137469394944 is an abundant number, since it is smaller than the sum of its proper divisors (344658493056).

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

137469394944 is an frugal number, since it uses more digits than its factorization.

137469394944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 163 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 63.

The spelling of 137469394944 in words is "one hundred thirty-seven billion, four hundred sixty-nine million, three hundred ninety-four thousand, nine hundred forty-four".