150255810 has 80 divisors (see below), whose sum is σ = 410779512. Its totient is φ = 39398400.

The previous prime is 150255799. The next prime is 150255811. The reversal of 150255810 is 18552051.

It can be written as a sum of positive squares in 4 ways, for example, as 122345721 + 27910089 = 11061^2 + 5283^2 .

It is a super-2 number, since 2×150255810² = 45153616877512200, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (150255811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47890 + ... + 50930.

Almost surely, 2^150255810 is an apocalyptic number.

150255810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150255810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205389756).

150255810 is an abundant number, since it is smaller than the sum of its proper divisors (260523702).

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

150255810 is a wasteful number, since it uses less digits than its factorization.

150255810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 150255810 is about 12257.8876646835. The cubic root of 150255810 is about 531.6311560397.

The spelling of 150255810 in words is "one hundred fifty million, two hundred fifty-five thousand, eight hundred ten".