1500146995200 has 1248 divisors, whose sum is σ = 6045351168000. Its totient is φ = 327452590080.

The previous prime is 1500146995159. The next prime is 1500146995229. The reversal of 1500146995200 is 25996410051.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2423500491 + ... + 2423501109.

Almost surely, 2^{1500146995200} is an apocalyptic number.

1500146995200 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 1500146995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022675584000).

1500146995200 is an abundant number, since it is smaller than the sum of its proper divisors (4545204172800).

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

1500146995200 is an equidigital number, since it uses as much as digits as its factorization.

1500146995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The spelling of 1500146995200 in words is "one trillion, five hundred billion, one hundred forty-six million, nine hundred ninety-five thousand, two hundred".