150769448800 has 72 divisors (see below), whose sum is σ = 368289709200. Its totient is φ = 60271111680.

The previous prime is 150769448759. The next prime is 150769448807. The reversal of 150769448800 is 8844967051.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150769448807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1278741 + ... + 1391659.

It is an arithmetic number, because the mean of its divisors is an integer number (5115134850).

Almost surely, 2^150769448800 is an apocalyptic number.

150769448800 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 150769448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184144854600).

150769448800 is an abundant number, since it is smaller than the sum of its proper divisors (217520260400).

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

150769448800 is a wasteful number, since it uses less digits than its factorization.

150769448800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114608 (or 114595 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 150769448800 in words is "one hundred fifty billion, seven hundred sixty-nine million, four hundred forty-eight thousand, eight hundred".