150405120 has 272 divisors, whose sum is σ = 566226720. Its totient is φ = 37748736.

The previous prime is 150405053. The next prime is 150405127. The reversal of 150405120 is 21504051.

150405120 is a `hidden beast` number, since 150 + 4 + 0 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (272).

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 junction number, because it is equal to n+sod(n) for n = 150405093 and 150405102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150405127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8847352 + ... + 8847368.

Almost surely, 2^150405120 is an apocalyptic number.

150405120 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 150405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283113360).

150405120 is an abundant number, since it is smaller than the sum of its proper divisors (415821600).

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

150405120 is an frugal number, since it uses more digits than its factorization.

150405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 27 counting only the distinct ones).

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

The square root of 150405120 is about 12263.9765166116. The cubic root of 150405120 is about 531.8071926484.

Adding to 150405120 its reverse (21504051), we get a palindrome (171909171).

The spelling of 150405120 in words is "one hundred fifty million, four hundred five thousand, one hundred twenty".