153661121280 has 360 divisors, whose sum is σ = 551875805712. Its totient is φ = 40823709696.

The previous prime is 153661121231. The next prime is 153661121297. The reversal of 153661121280 is 82121166351.

153661121280 is a `hidden beast` number, since 1 + 5 + 36 + 611 + 2 + 1 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×153661121280² (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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29338822 + ... + 29344058.

Almost surely, 2^153661121280 is an apocalyptic number.

153661121280 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 153661121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275937902856).

153661121280 is an abundant number, since it is smaller than the sum of its proper divisors (398214684432).

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

153661121280 is an equidigital number, since it uses as much as digits as its factorization.

153661121280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5553 (or 5530 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 153661121280 in words is "one hundred fifty-three billion, six hundred sixty-one million, one hundred twenty-one thousand, two hundred eighty".