153002251350 has 192 divisors, whose sum is σ = 463700321280. Its totient is φ = 36860572800.

The previous prime is 153002251333. The next prime is 153002251373. The reversal of 153002251350 is 53152200351.

It is a happy number.

153002251350 is a `hidden beast` number, since 1 + 5 + 300 + 2 + 2 + 5 + 1 + 350 = 666.

153002251350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 732105 + ... + 917595.

It is an arithmetic number, because the mean of its divisors is an integer number (2415105840).

Almost surely, 2^153002251350 is an apocalyptic number.

153002251350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153002251350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231850160640).

153002251350 is an abundant number, since it is smaller than the sum of its proper divisors (310698069930).

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

153002251350 is a wasteful number, since it uses less digits than its factorization.

153002251350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185572 (or 185561 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 153002251350 in words is "one hundred fifty-three billion, two million, two hundred fifty-one thousand, three hundred fifty".