137084596992 has 216 divisors, whose sum is σ = 468444377856. Its totient is φ = 39166903296.

The previous prime is 137084596949. The next prime is 137084596997. The reversal of 137084596992 is 299695480731.

137084596992 is a `hidden beast` number, since 1 + 37 + 0 + 8 + 4 + 596 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is not an unprimeable number, because it can be changed into a prime (137084596997) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 278053 + ... + 592859.

It is a 1-persistent number, because it is pandigital, but 2⋅137084596992 = 274169193984 is not.

Almost surely, 2^137084596992 is an apocalyptic number.

137084596992 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 137084596992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234222188928).

137084596992 is an abundant number, since it is smaller than the sum of its proper divisors (331359780864).

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

137084596992 is an frugal number, since it uses more digits than its factorization.

137084596992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314845 (or 314819 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 137084596992 in words is "one hundred thirty-seven billion, eighty-four million, five hundred ninety-six thousand, nine hundred ninety-two".