152351094434304 has 640 divisors, whose sum is σ = 429948150128640. Its totient is φ = 47874130182144.

The previous prime is 152351094434263. The next prime is 152351094434309. The reversal of 152351094434304 is 403434490153251.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (152351094434309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102455341849 + ... + 102455343335.

It is an arithmetic number, because the mean of its divisors is an integer number (671793984576).

Almost surely, 2^{152351094434304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152351094434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214974075064320).

152351094434304 is an abundant number, since it is smaller than the sum of its proper divisors (277597055694336).

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

152351094434304 is a wasteful number, since it uses less digits than its factorization.

152351094434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 152351094434304 in words is "one hundred fifty-two trillion, three hundred fifty-one billion, ninety-four million, four hundred thirty-four thousand, three hundred four".