145412033130 has 288 divisors, whose sum is σ = 486443857536. Its totient is φ = 29345538816.

The previous prime is 145412033069. The next prime is 145412033159. The reversal of 145412033130 is 31330214541.

It is a happy number.

145412033130 is a `hidden beast` number, since 1 + 454 + 1 + 203 + 3 + 1 + 3 + 0 = 666.

It is a super-2 number, since 2×145412033130² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145412033094 and 145412033103.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4315729 + ... + 4349291.

It is an arithmetic number, because the mean of its divisors is an integer number (1689041172).

Almost surely, 2^145412033130 is an apocalyptic number.

145412033130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145412033130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243221928768).

145412033130 is an abundant number, since it is smaller than the sum of its proper divisors (341031824406).

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

145412033130 is a wasteful number, since it uses less digits than its factorization.

145412033130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33642 (or 33616 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 145412033130 its reverse (31330214541), we get a palindrome (176742247671).

The spelling of 145412033130 in words is "one hundred forty-five billion, four hundred twelve million, thirty-three thousand, one hundred thirty".