151047801800 has 192 divisors, whose sum is σ = 410116608000. Its totient is φ = 51715776000.

The previous prime is 151047801797. The next prime is 151047801841. The reversal of 151047801800 is 8108740151.

It is a super-2 number, since 2×151047801800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 47 ways as a sum of consecutive naturals, for example, 78957644 + ... + 78959556.

It is an arithmetic number, because the mean of its divisors is an integer number (2136024000).

Almost surely, 2^151047801800 is an apocalyptic number.

151047801800 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 151047801800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205058304000).

151047801800 is an abundant number, since it is smaller than the sum of its proper divisors (259068806200).

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

151047801800 is a wasteful number, since it uses less digits than its factorization.

151047801800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 35.

The spelling of 151047801800 in words is "one hundred fifty-one billion, forty-seven million, eight hundred one thousand, eight hundred".