153661140300 has 144 divisors (see below), whose sum is σ = 449511229440. Its totient is φ = 40524610560.

The previous prime is 153661140277. The next prime is 153661140359. The reversal of 153661140300 is 3041166351.

It is a super-2 number, since 2×153661140300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16233369 + ... + 16242831.

It is an arithmetic number, because the mean of its divisors is an integer number (3121605760).

Almost surely, 2^153661140300 is an apocalyptic number.

153661140300 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 153661140300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224755614720).

153661140300 is an abundant number, since it is smaller than the sum of its proper divisors (295850089140).

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

153661140300 is a wasteful number, since it uses less digits than its factorization.

153661140300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10072 (or 10065 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 153661140300 in words is "one hundred fifty-three billion, six hundred sixty-one million, one hundred forty thousand, three hundred".