150155734561200 has 360 divisors, whose sum is σ = 526626366991920. Its totient is φ = 39616071936000.

The previous prime is 150155734561159. The next prime is 150155734561201. The reversal of 150155734561200 is 2165437551051.

150155734561200 is a `hidden beast` number, since 1 + 5 + 0 + 1 + 5 + 5 + 73 + 456 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×150155734561200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (150155734561201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 499072411 + ... + 499373189.

It is an arithmetic number, because the mean of its divisors is an integer number (1462851019422).

Almost surely, 2^{150155734561200} is an apocalyptic number.

150155734561200 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 150155734561200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263313183495960).

150155734561200 is an abundant number, since it is smaller than the sum of its proper divisors (376470632430720).

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

150155734561200 is a wasteful number, since it uses less digits than its factorization.

150155734561200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302277 (or 302263 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The spelling of 150155734561200 in words is "one hundred fifty trillion, one hundred fifty-five billion, seven hundred thirty-four million, five hundred sixty-one thousand, two hundred".