137820396672 has 768 divisors, whose sum is σ = 503402803200. Its totient is φ = 36337932288.

The previous prime is 137820396643. The next prime is 137820396677. The reversal of 137820396672 is 276693028731.

137820396672 is a `hidden beast` number, since 1 + 378 + 203 + 9 + 6 + 67 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (137820396677) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 375532233 + ... + 375532599.

It is an arithmetic number, because the mean of its divisors is an integer number (655472400).

Almost surely, 2^137820396672 is an apocalyptic number.

137820396672 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 137820396672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251701401600).

137820396672 is an abundant number, since it is smaller than the sum of its proper divisors (365582406528).

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

137820396672 is a wasteful number, since it uses less digits than its factorization.

137820396672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 137820396672 in words is "one hundred thirty-seven billion, eight hundred twenty million, three hundred ninety-six thousand, six hundred seventy-two".