150996960 has 240 divisors, whose sum is σ = 544465152. Its totient is φ = 39398400.

The previous prime is 150996959. The next prime is 150996961. The reversal of 150996960 is 69699051.

It is an interprime number because it is at equal distance from previous prime (150996959) and next prime (150996961).

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150996961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 790465 + ... + 790655.

Almost surely, 2^150996960 is an apocalyptic number.

150996960 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 150996960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272232576).

150996960 is an abundant number, since it is smaller than the sum of its proper divisors (393468192).

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

150996960 is a wasteful number, since it uses less digits than its factorization.

150996960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 150996960 is about 12288.0820309762. The cubic root of 150996960 is about 532.5038285779.

The spelling of 150996960 in words is "one hundred fifty million, nine hundred ninety-six thousand, nine hundred sixty".