145274801952 has 192 divisors, whose sum is σ = 459227059200. Its totient is φ = 39282693120.

The previous prime is 145274801929. The next prime is 145274801983. The reversal of 145274801952 is 259108472541.

It is a super-2 number, since 2×145274801952² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13924674 + ... + 13935102.

It is an arithmetic number, because the mean of its divisors is an integer number (2391807600).

Almost surely, 2^145274801952 is an apocalyptic number.

145274801952 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 145274801952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229613529600).

145274801952 is an abundant number, since it is smaller than the sum of its proper divisors (313952257248).

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

145274801952 is a wasteful number, since it uses less digits than its factorization.

145274801952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11559 (or 11551 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 145274801952 in words is "one hundred forty-five billion, two hundred seventy-four million, eight hundred one thousand, nine hundred fifty-two".