150396261120 has 432 divisors, whose sum is σ = 598730932800. Its totient is φ = 34142846976.

The previous prime is 150396261109. The next prime is 150396261121. The reversal of 150396261120 is 21162693051.

150396261120 is a `hidden beast` number, since 1 + 5 + 0 + 3 + 9 + 626 + 1 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (150396261121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12009102 + ... + 12021618.

Almost surely, 2^150396261120 is an apocalyptic number.

150396261120 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 150396261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299365466400).

150396261120 is an abundant number, since it is smaller than the sum of its proper divisors (448334671680).

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

150396261120 is a wasteful number, since it uses less digits than its factorization.

150396261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12700 (or 12683 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 150396261120 in words is "one hundred fifty billion, three hundred ninety-six million, two hundred sixty-one thousand, one hundred twenty".