145200025040532 has 192 divisors, whose sum is σ = 424650033561600. Its totient is φ = 37513838517120.

The previous prime is 145200025040513. The next prime is 145200025040579. The reversal of 145200025040532 is 235040520002541.

It is a happy number.

It is a super-2 number, since 2×145200025040532² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 145200025040493 and 145200025040502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159691569 + ... + 160598247.

It is an arithmetic number, because the mean of its divisors is an integer number (2211718924800).

Almost surely, 2^{145200025040532} is an apocalyptic number.

145200025040532 is a gapful number since it is divisible by the number (12) 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 145200025040532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212325016780800).

145200025040532 is an abundant number, since it is smaller than the sum of its proper divisors (279450008521068).

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

145200025040532 is a wasteful number, since it uses less digits than its factorization.

145200025040532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907626 (or 907624 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 145200025040532 in words is "one hundred forty-five trillion, two hundred billion, twenty-five million, forty thousand, five hundred thirty-two".