147123077713920 has 3744 divisors, whose sum is σ = 698196116741760. Its totient is φ = 28240773120000.

The previous prime is 147123077713907. The next prime is 147123077713957. The reversal of 147123077713920 is 29317770321741.

147123077713920 is a `hidden beast` number, since 1 + 471 + 2 + 3 + 0 + 7 + 77 + 13 + 92 + 0 = 666.

147123077713920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×147123077713920² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 77392464970 + ... + 77392466870.

It is an arithmetic number, because the mean of its divisors is an integer number (186484005540).

Almost surely, 2^{147123077713920} is an apocalyptic number.

147123077713920 is a gapful number since it is divisible by the number (10) 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 147123077713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349098058370880).

147123077713920 is an abundant number, since it is smaller than the sum of its proper divisors (551073039027840).

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

147123077713920 is a wasteful number, since it uses less digits than its factorization.

147123077713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 147123077713920 in words is "one hundred forty-seven trillion, one hundred twenty-three billion, seventy-seven million, seven hundred thirteen thousand, nine hundred twenty".