150999690240 has 1408 divisors, whose sum is σ = 663864698880. Its totient is φ = 31765561344.

The previous prime is 150999690239. The next prime is 150999690241. The reversal of 150999690240 is 42096999051.

150999690240 is a `hidden beast` number, since 1 + 509 + 9 + 9 + 6 + 90 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (150999690239) and next prime (150999690241).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (150999690241) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1102187452 + ... + 1102187588.

Almost surely, 2^150999690240 is an apocalyptic number.

150999690240 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 150999690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331932349440).

150999690240 is an abundant number, since it is smaller than the sum of its proper divisors (512865008640).

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

150999690240 is a wasteful number, since it uses less digits than its factorization.

150999690240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 150999690240 in words is "one hundred fifty billion, nine hundred ninety-nine million, six hundred ninety thousand, two hundred forty".