152643502080 has 612 divisors, whose sum is σ = 557223715152. Its totient is φ = 40131624960.

The previous prime is 152643501991. The next prime is 152643502087. The reversal of 152643502080 is 80205346251.

152643502080 is a `hidden beast` number, since 1 + 5 + 2 + 643 + 5 + 0 + 2 + 0 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (152643502087) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2149908445 + ... + 2149908515.

Almost surely, 2^152643502080 is an apocalyptic number.

152643502080 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 152643502080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278611857576).

152643502080 is an abundant number, since it is smaller than the sum of its proper divisors (404580213072).

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

152643502080 is an frugal number, since it uses more digits than its factorization.

152643502080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 152643502080 in words is "one hundred fifty-two billion, six hundred forty-three million, five hundred two thousand, eighty".