45130153200 has 240 divisors, whose sum is σ = 159275555712. Its totient is φ = 10832000000.

The previous prime is 45130153171. The next prime is 45130153207. The reversal of 45130153200 is 235103154.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45130153207) 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, 1316275 + ... + 1350125.

Almost surely, 2^45130153200 is an apocalyptic number.

45130153200 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 45130153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79637777856).

45130153200 is an abundant number, since it is smaller than the sum of its proper divisors (114145402512).

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

45130153200 is a wasteful number, since it uses less digits than its factorization.

45130153200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33984 (or 33973 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 45130153200 its reverse (235103154), we get a palindrome (45365256354).

The spelling of 45130153200 in words is "forty-five billion, one hundred thirty million, one hundred fifty-three thousand, two hundred".