153060912900 has 891 divisors, whose sum is σ = 605844368661. Its totient is φ = 33464249280.

The previous prime is 153060912871. The next prime is 153060912911. The reversal of 153060912900 is 9219060351.

The square root of 153060912900 is 391230.

It is a perfect power (a square), and thus also a powerful number.

153060912900 is a `hidden beast` number, since 1 + 5 + 30 + 609 + 12 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55101928644 + 97958984256 = 234738^2 + 312984^2 .

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 296 ways as a sum of consecutive naturals, for example, 6654822289 + ... + 6654822311.

Almost surely, 2^153060912900 is an apocalyptic number.

153060912900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

153060912900 is the 391230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153060912900

153060912900 is an abundant number, since it is smaller than the sum of its proper divisors (452783455761).

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

153060912900 is an equidigital number, since it uses as much as digits as its factorization.

153060912900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

Multiplying 153060912900 by its sum of digits (36), we get a square (5510192864400 = 2347380²).

153060912900 divided by its sum of digits (36) gives a square (4251692025 = 65205²).

The spelling of 153060912900 in words is "one hundred fifty-three billion, sixty million, nine hundred twelve thousand, nine hundred".