137294817232896 has 768 divisors, whose sum is σ = 422268873062400. Its totient is φ = 44606301143040.

The previous prime is 137294817232871. The next prime is 137294817232897. The reversal of 137294817232896 is 698232718492731.

137294817232896 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 9 + 48 + 172 + 328 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (137294817232897) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30873579345 + ... + 30873583791.

It is an arithmetic number, because the mean of its divisors is an integer number (549829261800).

Almost surely, 2^{137294817232896} is an apocalyptic number.

137294817232896 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 137294817232896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211134436531200).

137294817232896 is an abundant number, since it is smaller than the sum of its proper divisors (284974055829504).

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

137294817232896 is an frugal number, since it uses more digits than its factorization.

137294817232896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4664 (or 4626 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 72.

The spelling of 137294817232896 in words is "one hundred thirty-seven trillion, two hundred ninety-four billion, eight hundred seventeen million, two hundred thirty-two thousand, eight hundred ninety-six".