137216373840 has 960 divisors, whose sum is σ = 611380869120. Its totient is φ = 28008529920.

The previous prime is 137216373829. The next prime is 137216373863. The reversal of 137216373840 is 48373612731.

137216373840 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 1 + 637 + 3 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42651912 + ... + 42655128.

It is an arithmetic number, because the mean of its divisors is an integer number (636855072).

Almost surely, 2^137216373840 is an apocalyptic number.

137216373840 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 137216373840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305690434560).

137216373840 is an abundant number, since it is smaller than the sum of its proper divisors (474164495280).

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

137216373840 is a wasteful number, since it uses less digits than its factorization.

137216373840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3297 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 137216373840 in words is "one hundred thirty-seven billion, two hundred sixteen million, three hundred seventy-three thousand, eight hundred forty".