153414825120 has 384 divisors, whose sum is σ = 571590432000. Its totient is φ = 38320128000.

The previous prime is 153414825097. The next prime is 153414825127. The reversal of 153414825120 is 21528414351.

153414825120 is a `hidden beast` number, since 1 + 5 + 341 + 48 + 251 + 20 = 666.

It is a super-2 number, since 2×153414825120² (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 not an unprimeable number, because it can be changed into a prime (153414825127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7294620 + ... + 7315620.

It is an arithmetic number, because the mean of its divisors is an integer number (1488516750).

Almost surely, 2^153414825120 is an apocalyptic number.

153414825120 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 153414825120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285795216000).

153414825120 is an abundant number, since it is smaller than the sum of its proper divisors (418175606880).

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

153414825120 is a wasteful number, since it uses less digits than its factorization.

153414825120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21133 (or 21119 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 153414825120 in words is "one hundred fifty-three billion, four hundred fourteen million, eight hundred twenty-five thousand, one hundred twenty".