150399600 has 240 divisors, whose sum is σ = 537298944. Its totient is φ = 35712000.

The previous prime is 150399583. The next prime is 150399619. The reversal of 150399600 is 6993051.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483445 + ... + 483755.

Almost surely, 2^150399600 is an apocalyptic number.

150399600 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 150399600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268649472).

150399600 is an abundant number, since it is smaller than the sum of its proper divisors (386899344).

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

150399600 is a wasteful number, since it uses less digits than its factorization.

150399600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 33.

The square root of 150399600 is about 12263.7514651920. The cubic root of 150399600 is about 531.8006866385.

The spelling of 150399600 in words is "one hundred fifty million, three hundred ninety-nine thousand, six hundred".