153294200352 has 240 divisors, whose sum is σ = 487393885440. Its totient is φ = 47099791872.

The previous prime is 153294200347. The next prime is 153294200383. The reversal of 153294200352 is 253002492351.

153294200352 is a `hidden beast` number, since 1 + 532 + 94 + 2 + 0 + 0 + 35 + 2 = 666.

It is a super-2 number, since 2×153294200352² (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 an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1780113 + ... + 1864239.

It is an arithmetic number, because the mean of its divisors is an integer number (2030807856).

Almost surely, 2^153294200352 is an apocalyptic number.

153294200352 is a gapful number since it is divisible by the number (12) 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 153294200352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243696942720).

153294200352 is an abundant number, since it is smaller than the sum of its proper divisors (334099685088).

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

153294200352 is a wasteful number, since it uses less digits than its factorization.

153294200352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84205 (or 84188 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 153294200352 in words is "one hundred fifty-three billion, two hundred ninety-four million, two hundred thousand, three hundred fifty-two".