153051085200 has 240 divisors, whose sum is σ = 528349127936. Its totient is φ = 37648281600.

The previous prime is 153051085199. The next prime is 153051085247. The reversal of 153051085200 is 2580150351.

It is a tau number, because it is divible by the number of its divisors (240).

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, 33334905 + ... + 33339495.

Almost surely, 2^153051085200 is an apocalyptic number.

153051085200 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 153051085200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264174563968).

153051085200 is an abundant number, since it is smaller than the sum of its proper divisors (375298042736).

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

153051085200 is a wasteful number, since it uses less digits than its factorization.

153051085200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6762 (or 6751 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 153051085200 in words is "one hundred fifty-three billion, fifty-one million, eighty-five thousand, two hundred".