150405120000 has 800 divisors, whose sum is σ = 589634694000. Its totient is φ = 37748736000.

The previous prime is 150405119933. The next prime is 150405120007. The reversal of 150405120000 is 21504051.

150405120000 is a `hidden beast` number, since 150 + 4 + 0 + 512 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150405120007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8847359992 + ... + 8847360008.

Almost surely, 2^150405120000 is an apocalyptic number.

150405120000 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 150405120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294817347000).

150405120000 is an abundant number, since it is smaller than the sum of its proper divisors (439229574000).

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

150405120000 is an frugal number, since it uses more digits than its factorization.

150405120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 150405120000 its reverse (21504051), we get a palindrome (150426624051).

The spelling of 150405120000 in words is "one hundred fifty billion, four hundred five million, one hundred twenty thousand".