150651600 has 240 divisors, whose sum is σ = 536376384. Its totient is φ = 35840000.

The previous prime is 150651581. The next prime is 150651617. The reversal of 150651600 is 6156051.

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

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1333144 + ... + 1333256.

Almost surely, 2^150651600 is an apocalyptic number.

150651600 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 150651600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268188192).

150651600 is an abundant number, since it is smaller than the sum of its proper divisors (385724784).

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

150651600 is a wasteful number, since it uses less digits than its factorization.

150651600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 150651600 is about 12274.0213459159. The cubic root of 150651600 is about 532.0975380359.

The spelling of 150651600 in words is "one hundred fifty million, six hundred fifty-one thousand, six hundred".