150875290800 has 540 divisors, whose sum is σ = 577773265680. Its totient is φ = 36430018560.

The previous prime is 150875290789. The next prime is 150875290807. The reversal of 150875290800 is 8092578051.

It is a happy number.

150875290800 is a `hidden beast` number, since 1 + 508 + 7 + 52 + 90 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (150875290807) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 32242861 + ... + 32247539.

It is an arithmetic number, because the mean of its divisors is an integer number (1069950492).

Almost surely, 2^150875290800 is an apocalyptic number.

150875290800 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 150875290800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288886632840).

150875290800 is an abundant number, since it is smaller than the sum of its proper divisors (426897974880).

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

150875290800 is a wasteful number, since it uses less digits than its factorization.

150875290800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782 (or 4755 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 150875290800 in words is "one hundred fifty billion, eight hundred seventy-five million, two hundred ninety thousand, eight hundred".