147751264080 has 900 divisors, whose sum is σ = 630504014580. Its totient is φ = 31969437696.

The previous prime is 147751264051. The next prime is 147751264117. The reversal of 147751264080 is 80462157741.

147751264080 is a `hidden beast` number, since 1 + 4 + 77 + 512 + 64 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88123484736 + 59627779344 = 296856^2 + 244188^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 114624076 + ... + 114625364.

Almost surely, 2^147751264080 is an apocalyptic number.

147751264080 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 147751264080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315252007290).

147751264080 is an abundant number, since it is smaller than the sum of its proper divisors (482752750500).

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

147751264080 is a wasteful number, since it uses less digits than its factorization.

147751264080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 147751264080 in words is "one hundred forty-seven billion, seven hundred fifty-one million, two hundred sixty-four thousand, eighty".