150981000 has 128 divisors (see below), whose sum is σ = 479606400. Its totient is φ = 39532800.

The previous prime is 150980953. The next prime is 150981001. The reversal of 150981000 is 189051.

It is a super-2 number, since 2×150981000² = 45590524722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (150981001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176574 + ... + 177426.

It is an arithmetic number, because the mean of its divisors is an integer number (3746925).

Almost surely, 2^150981000 is an apocalyptic number.

150981000 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 150981000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239803200).

150981000 is an abundant number, since it is smaller than the sum of its proper divisors (328625400).

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

150981000 is a wasteful number, since it uses less digits than its factorization.

150981000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 150981000 is about 12287.4326040878. The cubic root of 150981000 is about 532.4850664771.

The spelling of 150981000 in words is "one hundred fifty million, nine hundred eighty-one thousand".