147956613120 has 480 divisors, whose sum is σ = 530731031040. Its totient is φ = 39105331200.

The previous prime is 147956613113. The next prime is 147956613127. The reversal of 147956613120 is 21316659741.

147956613120 is a `hidden beast` number, since 1 + 4 + 7 + 9 + 5 + 6 + 613 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (147956613113) and next prime (147956613127).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×147956613120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (147956613127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333987619 + ... + 333988061.

It is an arithmetic number, because the mean of its divisors is an integer number (1105689648).

Almost surely, 2^147956613120 is an apocalyptic number.

147956613120 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 147956613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265365515520).

147956613120 is an abundant number, since it is smaller than the sum of its proper divisors (382774417920).

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

147956613120 is an equidigital number, since it uses as much as digits as its factorization.

147956613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 147956613120 in words is "one hundred forty-seven billion, nine hundred fifty-six million, six hundred thirteen thousand, one hundred twenty".