153144505378800 has 4320 divisors, whose sum is σ = 691510649057280. Its totient is φ = 31085287833600.

The previous prime is 153144505378789. The next prime is 153144505378849. The reversal of 153144505378800 is 8873505441351.

153144505378800 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 445 + 0 + 53 + 78 + 80 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 140113911054 + ... + 140113912146.

It is an arithmetic number, because the mean of its divisors is an integer number (160071909504).

Almost surely, 2^{153144505378800} is an apocalyptic number.

153144505378800 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 153144505378800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345755324528640).

153144505378800 is an abundant number, since it is smaller than the sum of its proper divisors (538366143678480).

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

153144505378800 is a wasteful number, since it uses less digits than its factorization.

153144505378800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 153144505378800 in words is "one hundred fifty-three trillion, one hundred forty-four billion, five hundred five million, three hundred seventy-eight thousand, eight hundred".