151645400100 has 288 divisors, whose sum is σ = 508917427200. Its totient is φ = 38692684800.

The previous prime is 151645400089. The next prime is 151645400117. The reversal of 151645400100 is 1004546151.

151645400100 is a `hidden beast` number, since 1 + 5 + 1 + 645 + 4 + 0 + 0 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7439122 + ... + 7459478.

It is an arithmetic number, because the mean of its divisors is an integer number (1767074400).

Almost surely, 2^151645400100 is an apocalyptic number.

151645400100 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 151645400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254458713600).

151645400100 is an abundant number, since it is smaller than the sum of its proper divisors (357272027100).

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

151645400100 is a wasteful number, since it uses less digits than its factorization.

151645400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20500 (or 20487 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 151645400100 its reverse (1004546151), we get a palindrome (152649946251).

The spelling of 151645400100 in words is "one hundred fifty-one billion, six hundred forty-five million, four hundred thousand, one hundred".