137830464000 has 960 divisors, whose sum is σ = 532462170240. Its totient is φ = 35140608000.

The previous prime is 137830463891. The next prime is 137830464059. The reversal of 137830464000 is 464038731.

137830464000 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 3 + 0 + 4 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1660607959 + ... + 1660608041.

It is an arithmetic number, because the mean of its divisors is an integer number (554648094).

Almost surely, 2^137830464000 is an apocalyptic number.

137830464000 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 137830464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266231085120).

137830464000 is an abundant number, since it is smaller than the sum of its proper divisors (394631706240).

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

137830464000 is an frugal number, since it uses more digits than its factorization.

137830464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 137830464000 in words is "one hundred thirty-seven billion, eight hundred thirty million, four hundred sixty-four thousand".