150945696000 has 1728 divisors, whose sum is σ = 644666480640. Its totient is φ = 33546240000.

The previous prime is 150945695987. The next prime is 150945696017. The reversal of 150945696000 is 696549051.

It is a happy number.

150945696000 is a `hidden beast` number, since 1 + 509 + 4 + 56 + 96 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×150945696000³ (a number of 35 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2848031974 + ... + 2848032026.

It is an arithmetic number, because the mean of its divisors is an integer number (373070880).

Almost surely, 2^150945696000 is an apocalyptic number.

150945696000 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 150945696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322333240320).

150945696000 is an abundant number, since it is smaller than the sum of its proper divisors (493720784640).

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

150945696000 is a wasteful number, since it uses less digits than its factorization.

150945696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 150945696000 in words is "one hundred fifty billion, nine hundred forty-five million, six hundred ninety-six thousand".