153191995200 has 420 divisors, whose sum is σ = 564783043660. Its totient is φ = 40728821760.

The previous prime is 153191995183. The next prime is 153191995211. The reversal of 153191995200 is 2599191351.

153191995200 is a `hidden beast` number, since 1 + 5 + 31 + 9 + 1 + 99 + 520 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 511121664 + 152680873536 = 22608^2 + 390744^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 48339216 + ... + 48342384.

Almost surely, 2^153191995200 is an apocalyptic number.

153191995200 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 153191995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282391521830).

153191995200 is an abundant number, since it is smaller than the sum of its proper divisors (411591048460).

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

153191995200 is a wasteful number, since it uses less digits than its factorization.

153191995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3576 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 109350, while the sum is 45.

The spelling of 153191995200 in words is "one hundred fifty-three billion, one hundred ninety-one million, nine hundred ninety-five thousand, two hundred".