137921006496 has 192 divisors, whose sum is σ = 446491035648. Its totient is φ = 36301298688.

The previous prime is 137921006437. The next prime is 137921006497. The reversal of 137921006496 is 694600129731.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (137921006497) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4378515 + ... + 4409901.

It is an arithmetic number, because the mean of its divisors is an integer number (2325474144).

Almost surely, 2^137921006496 is an apocalyptic number.

137921006496 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 137921006496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223245517824).

137921006496 is an abundant number, since it is smaller than the sum of its proper divisors (308570029152).

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

137921006496 is a wasteful number, since it uses less digits than its factorization.

137921006496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31923 (or 31915 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 137921006496 in words is "one hundred thirty-seven billion, nine hundred twenty-one million, six thousand, four hundred ninety-six".