150104813040 has 1440 divisors, whose sum is σ = 663698520576. Its totient is φ = 30860144640.

The previous prime is 150104812993. The next prime is 150104813071. The reversal of 150104813040 is 40318401051.

It is a happy number.

150104813040 is a `hidden beast` number, since 150 + 1 + 0 + 481 + 30 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 150104812995 and 150104813013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1402848667 + ... + 1402848773.

Almost surely, 2^150104813040 is an apocalyptic number.

150104813040 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 150104813040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331849260288).

150104813040 is an abundant number, since it is smaller than the sum of its proper divisors (513593707536).

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

150104813040 is a wasteful number, since it uses less digits than its factorization.

150104813040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 150104813040 in words is "one hundred fifty billion, one hundred four million, eight hundred thirteen thousand, forty".