137014924419072 has 2688 divisors, whose sum is σ = 518243035322880. Its totient is φ = 35529865297920.

The previous prime is 137014924419049. The next prime is 137014924419103. The reversal of 137014924419072 is 270914429410731.

137014924419072 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 1 + 49 + 2 + 441 + 90 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 820448649133 + ... + 820448649299.

It is an arithmetic number, because the mean of its divisors is an integer number (192798748260).

Almost surely, 2^{137014924419072} is an apocalyptic number.

137014924419072 is a gapful number since it is divisible by the number (12) 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 137014924419072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259121517661440).

137014924419072 is an abundant number, since it is smaller than the sum of its proper divisors (381228110903808).

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

137014924419072 is a wasteful number, since it uses less digits than its factorization.

137014924419072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 137014924419072 in words is "one hundred thirty-seven trillion, fourteen billion, nine hundred twenty-four million, four hundred nineteen thousand, seventy-two".