145273734252 has 240 divisors, whose sum is σ = 401850408960. Its totient is φ = 45695664000.

The previous prime is 145273734233. The next prime is 145273734253. The reversal of 145273734252 is 252437372541.

145273734252 is a `hidden beast` number, since 1 + 4 + 5 + 27 + 373 + 4 + 252 = 666.

145273734252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145273734252² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145273734198 and 145273734207.

It is not an unprimeable number, because it can be changed into a prime (145273734253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 207237502 + ... + 207238202.

It is an arithmetic number, because the mean of its divisors is an integer number (1674376704).

Almost surely, 2^145273734252 is an apocalyptic number.

145273734252 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 145273734252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200925204480).

145273734252 is an abundant number, since it is smaller than the sum of its proper divisors (256576674708).

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

145273734252 is a wasteful number, since it uses less digits than its factorization.

145273734252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1223 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 45.

The spelling of 145273734252 in words is "one hundred forty-five billion, two hundred seventy-three million, seven hundred thirty-four thousand, two hundred fifty-two".