145213254125532 has 288 divisors, whose sum is σ = 396359733369600. Its totient is φ = 46448855695872.

The previous prime is 145213254125519. The next prime is 145213254125581. The reversal of 145213254125532 is 235521452312541.

145213254125532 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 1 + 32 + 54 + 12 + 553 + 2 = 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, 4214315248 + ... + 4214349704.

It is an arithmetic number, because the mean of its divisors is an integer number (1376249074200).

Almost surely, 2^{145213254125532} is an apocalyptic number.

145213254125532 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 145213254125532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198179866684800).

145213254125532 is an abundant number, since it is smaller than the sum of its proper divisors (251146479244068).

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

145213254125532 is a wasteful number, since it uses less digits than its factorization.

145213254125532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36287 (or 36273 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 45.

The spelling of 145213254125532 in words is "one hundred forty-five trillion, two hundred thirteen billion, two hundred fifty-four million, one hundred twenty-five thousand, five hundred thirty-two".