150268809600 has 864 divisors, whose sum is σ = 671797002240. Its totient is φ = 31701196800.

The previous prime is 150268809487. The next prime is 150268809671. The reversal of 150268809600 is 6908862051.

150268809600 is a `hidden beast` number, since 1 + 502 + 6 + 8 + 80 + 9 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18341505 + ... + 18349695.

Almost surely, 2^150268809600 is an apocalyptic number.

150268809600 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 150268809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335898501120).

150268809600 is an abundant number, since it is smaller than the sum of its proper divisors (521528192640).

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

150268809600 is a wasteful number, since it uses less digits than its factorization.

150268809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8248 (or 8221 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 150268809600 in words is "one hundred fifty billion, two hundred sixty-eight million, eight hundred nine thousand, six hundred".