150141911040 has 1200 divisors, whose sum is σ = 626883564384. Its totient is φ = 34256977920.

The previous prime is 150141910991. The next prime is 150141911053. The reversal of 150141911040 is 40119141051.

150141911040 is a `hidden beast` number, since 1 + 501 + 4 + 1 + 9 + 110 + 40 = 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 = 150141910995 and 150141911013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8831877112 + ... + 8831877128.

Almost surely, 2^150141911040 is an apocalyptic number.

150141911040 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 150141911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313441782192).

150141911040 is an abundant number, since it is smaller than the sum of its proper divisors (476741653344).

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

150141911040 is an frugal number, since it uses more digits than its factorization.

150141911040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 150141911040 in words is "one hundred fifty billion, one hundred forty-one million, nine hundred eleven thousand, forty".