137326338468 has 192 divisors, whose sum is σ = 394436044800. Its totient is φ = 40971934080.

The previous prime is 137326338319. The next prime is 137326338473. The reversal of 137326338468 is 864833623731.

137326338468 is a `hidden beast` number, since 1 + 373 + 263 + 3 + 8 + 4 + 6 + 8 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21225138 + ... + 21231606.

It is an arithmetic number, because the mean of its divisors is an integer number (2054354400).

Almost surely, 2^137326338468 is an apocalyptic number.

137326338468 is a gapful number since it is divisible by the number (18) 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 137326338468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197218022400).

137326338468 is an abundant number, since it is smaller than the sum of its proper divisors (257109706332).

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

137326338468 is a wasteful number, since it uses less digits than its factorization.

137326338468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6767 (or 6759 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 137326338468 in words is "one hundred thirty-seven billion, three hundred twenty-six million, three hundred thirty-eight thousand, four hundred sixty-eight".