145474994952 has 480 divisors, whose sum is σ = 483610743000. Its totient is φ = 40730812416.

The previous prime is 145474994941. The next prime is 145474994957. The reversal of 145474994952 is 259499474541.

145474994952 is a `hidden beast` number, since 1 + 4 + 54 + 7 + 4 + 99 + 495 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54865566756 + 90609428196 = 234234^2 + 301014^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 145474994952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145474994957) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 458911498 + ... + 458911814.

Almost surely, 2^145474994952 is an apocalyptic number.

145474994952 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 145474994952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241805371500).

145474994952 is an abundant number, since it is smaller than the sum of its proper divisors (338135748048).

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

145474994952 is a wasteful number, since it uses less digits than its factorization.

145474994952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 575 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 145474994952 in words is "one hundred forty-five billion, four hundred seventy-four million, nine hundred ninety-four thousand, nine hundred fifty-two".