151445113466100 has 144 divisors (see below), whose sum is σ = 457506870686208. Its totient is φ = 38606302232960.

The previous prime is 151445113466051. The next prime is 151445113466107. The reversal of 151445113466100 is 1664311544151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151445113466107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4919047 + ... + 18085553.

It is an arithmetic number, because the mean of its divisors is an integer number (3177131046432).

Almost surely, 2^{151445113466100} is an apocalyptic number.

151445113466100 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 151445113466100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228753435343104).

151445113466100 is an abundant number, since it is smaller than the sum of its proper divisors (306061757220108).

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

151445113466100 is a wasteful number, since it uses less digits than its factorization.

151445113466100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13168214 (or 13168207 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 151445113466100 in words is "one hundred fifty-one trillion, four hundred forty-five billion, one hundred thirteen million, four hundred sixty-six thousand, one hundred".