150940800 has 192 divisors, whose sum is σ = 552717600. Its totient is φ = 40227840.

The previous prime is 150940759. The next prime is 150940813. The reversal of 150940800 is 8049051.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×150940800³ (a number of 26 digits) contains 333 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 85527 + ... + 87273.

Almost surely, 2^150940800 is an apocalyptic number.

150940800 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 150940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276358800).

150940800 is an abundant number, since it is smaller than the sum of its proper divisors (401776800).

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

150940800 is a wasteful number, since it uses less digits than its factorization.

150940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 150940800 is about 12285.7966774646. The cubic root of 150940800 is about 532.4378026938.

Adding to 150940800 its reverse (8049051), we get a palindrome (158989851).

The spelling of 150940800 in words is "one hundred fifty million, nine hundred forty thousand, eight hundred".