150040132000000 has 1008 divisors, whose sum is σ = 429115699748736. Its totient is φ = 51825664000000.

The previous prime is 150040131999991. The next prime is 150040132000019. The reversal of 150040132000000 is 231040051.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 175075999572 + ... + 175076000428.

It is an arithmetic number, because the mean of its divisors is an integer number (425710019592).

Almost surely, 2^{150040132000000} is an apocalyptic number.

150040132000000 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 150040132000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214557849874368).

150040132000000 is an abundant number, since it is smaller than the sum of its proper divisors (279075567748736).

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

150040132000000 is an frugal number, since it uses more digits than its factorization.

150040132000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 150040132000000 its reverse (231040051), we get a palindrome (150040363040051).

The spelling of 150040132000000 in words is "one hundred fifty trillion, forty billion, one hundred thirty-two million", and thus it is an aban number.