150534605760 has 448 divisors, whose sum is σ = 596727198720. Its totient is φ = 31235604480.

The previous prime is 150534605743. The next prime is 150534605777. The reversal of 150534605760 is 67506435051.

It is an interprime number because it is at equal distance from previous prime (150534605743) and next prime (150534605777).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90846852 + ... + 90848508.

Almost surely, 2^150534605760 is an apocalyptic number.

150534605760 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 150534605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298363599360).

150534605760 is an abundant number, since it is smaller than the sum of its proper divisors (446192592960).

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

150534605760 is a wasteful number, since it uses less digits than its factorization.

150534605760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The spelling of 150534605760 in words is "one hundred fifty billion, five hundred thirty-four million, six hundred five thousand, seven hundred sixty".