153118780920 has 560 divisors, whose sum is σ = 602869201560. Its totient is φ = 34998578496.

The previous prime is 153118780897. The next prime is 153118780937. The reversal of 153118780920 is 29087811351.

153118780920 is a `hidden beast` number, since 1 + 531 + 18 + 7 + 80 + 9 + 20 = 666.

It is a super-2 number, since 2×153118780920² (a number of 23 digits) contains 22 as substring.

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 139 ways as a sum of consecutive naturals, for example, 21874111557 + ... + 21874111563.

Almost surely, 2^153118780920 is an apocalyptic number.

153118780920 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 153118780920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301434600780).

153118780920 is an abundant number, since it is smaller than the sum of its proper divisors (449750420640).

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

153118780920 is an frugal number, since it uses more digits than its factorization.

153118780920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 153118780920 in words is "one hundred fifty-three billion, one hundred eighteen million, seven hundred eighty thousand, nine hundred twenty".