150693903360 has 2112 divisors, whose sum is σ = 733043211264. Its totient is φ = 28904325120.

The previous prime is 150693903341. The next prime is 150693903377. The reversal of 150693903360 is 63309396051.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 8580 × 8316 × 2112.

It is a congruent number.

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, 11591838714 + ... + 11591838726.

Almost surely, 2^150693903360 is an apocalyptic number.

150693903360 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 150693903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366521605632).

150693903360 is an abundant number, since it is smaller than the sum of its proper divisors (582349307904).

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

150693903360 is an equidigital number, since it uses as much as digits as its factorization.

150693903360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 45.

The spelling of 150693903360 in words is "one hundred fifty billion, six hundred ninety-three million, nine hundred three thousand, three hundred sixty".