137537670816 has 480 divisors, whose sum is σ = 515031834240. Its totient is φ = 35021113344.

The previous prime is 137537670811. The next prime is 137537670887. The reversal of 137537670816 is 618076735731.

137537670816 is a `hidden beast` number, since 1 + 37 + 537 + 6 + 70 + 8 + 1 + 6 = 666.

It is a super-2 number, since 2×137537670816² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (137537670811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6830235 + ... + 6850341.

It is an arithmetic number, because the mean of its divisors is an integer number (1072982988).

Almost surely, 2^137537670816 is an apocalyptic number.

137537670816 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 137537670816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257515917120).

137537670816 is an abundant number, since it is smaller than the sum of its proper divisors (377494163424).

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

137537670816 is a wasteful number, since it uses less digits than its factorization.

137537670816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20178 (or 20161 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 137537670816 in words is "one hundred thirty-seven billion, five hundred thirty-seven million, six hundred seventy thousand, eight hundred sixteen".