150157800 has 480 divisors, whose sum is σ = 604961280. Its totient is φ = 34214400.

The previous prime is 150157793. The next prime is 150157807. The reversal of 150157800 is 8751051.

It is an interprime number because it is at equal distance from previous prime (150157793) and next prime (150157807).

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

It is not an unprimeable number, because it can be changed into a prime (150157807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4843785 + ... + 4843815.

It is an arithmetic number, because the mean of its divisors is an integer number (1260336).

Almost surely, 2^150157800 is an apocalyptic number.

150157800 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 150157800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302480640).

150157800 is an abundant number, since it is smaller than the sum of its proper divisors (454803480).

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

150157800 is a wasteful number, since it uses less digits than its factorization.

150157800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 150157800 is about 12253.8891785425. The cubic root of 150157800 is about 531.5155387626.

The spelling of 150157800 in words is "one hundred fifty million, one hundred fifty-seven thousand, eight hundred".