150681600 has 288 divisors, whose sum is σ = 558558000. Its totient is φ = 39813120.

The previous prime is 150681599. The next prime is 150681611. The reversal of 150681600 is 6186051.

150681600 is a `hidden beast` number, since 1 + 50 + 6 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1382346 + ... + 1382454.

Almost surely, 2^150681600 is an apocalyptic number.

150681600 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 150681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279279000).

150681600 is an abundant number, since it is smaller than the sum of its proper divisors (407876400).

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

150681600 is a wasteful number, since it uses less digits than its factorization.

150681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 119 counting only the distinct ones).

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

The square root of 150681600 is about 12275.2433784426. The cubic root of 150681600 is about 532.1328554320.

The spelling of 150681600 in words is "one hundred fifty million, six hundred eighty-one thousand, six hundred".