45153132120 has 384 divisors, whose sum is σ = 153807413760. Its totient is φ = 11479265280.

The previous prime is 45153132113. The next prime is 45153132139. The reversal of 45153132120 is 2123135154.

45153132120 is a `hidden beast` number, since 4 + 5 + 1 + 531 + 3 + 2 + 120 = 666.

It is a congruent number.

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, 145186765 + ... + 145187075.

It is an arithmetic number, because the mean of its divisors is an integer number (400540140).

Almost surely, 2^45153132120 is an apocalyptic number.

45153132120 is a gapful number since it is divisible by the number (40) 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 45153132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76903706880).

45153132120 is an abundant number, since it is smaller than the sum of its proper divisors (108654281640).

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

45153132120 is a wasteful number, since it uses less digits than its factorization.

45153132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 45153132120 its reverse (2123135154), we get a palindrome (47276267274).

The spelling of 45153132120 in words is "forty-five billion, one hundred fifty-three million, one hundred thirty-two thousand, one hundred twenty".