150300253145200 has 60 divisors (see below), whose sum is σ = 361324468584288. Its totient is φ = 60082122419200.

The previous prime is 150300253145191. The next prime is 150300253145209. The reversal of 150300253145200 is 2541352003051.

It is an interprime number because it is at equal distance from previous prime (150300253145191) and next prime (150300253145209).

It is a super-2 number, since 2×150300253145200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150300253145209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118049881 + ... + 119316280.

Almost surely, 2^{150300253145200} is an apocalyptic number.

150300253145200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150300253145200 is an abundant number, since it is smaller than the sum of its proper divisors (211024215439088).

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

150300253145200 is a wasteful number, since it uses less digits than its factorization.

150300253145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237367762 (or 237367751 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 150300253145200 in words is "one hundred fifty trillion, three hundred billion, two hundred fifty-three million, one hundred forty-five thousand, two hundred".