151827643800 has 576 divisors, whose sum is σ = 597497472000. Its totient is φ = 33830092800.

The previous prime is 151827643763. The next prime is 151827643813. The reversal of 151827643800 is 8346728151.

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 143 ways as a sum of consecutive naturals, for example, 265897515 + ... + 265898085.

It is an arithmetic number, because the mean of its divisors is an integer number (1037322000).

Almost surely, 2^151827643800 is an apocalyptic number.

151827643800 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 151827643800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298748736000).

151827643800 is an abundant number, since it is smaller than the sum of its proper divisors (445669828200).

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

151827643800 is a wasteful number, since it uses less digits than its factorization.

151827643800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 151827643800 in words is "one hundred fifty-one billion, eight hundred twenty-seven million, six hundred forty-three thousand, eight hundred".