147012433920 has 1152 divisors, whose sum is σ = 594991837440. Its totient is φ = 34504704000.

The previous prime is 147012433901. The next prime is 147012433951. The reversal of 147012433920 is 29334210741.

It is a happy number.

147012433920 is a `hidden beast` number, since 147 + 0 + 124 + 3 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×147012433920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1122232255 + ... + 1122232385.

It is an arithmetic number, because the mean of its divisors is an integer number (516485970).

Almost surely, 2^147012433920 is an apocalyptic number.

147012433920 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 147012433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297495918720).

147012433920 is an abundant number, since it is smaller than the sum of its proper divisors (447979403520).

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

147012433920 is a wasteful number, since it uses less digits than its factorization.

147012433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 147012433920 in words is "one hundred forty-seven billion, twelve million, four hundred thirty-three thousand, nine hundred twenty".