145599268752 has 480 divisors, whose sum is σ = 504994464000. Its totient is φ = 39033114624.

The previous prime is 145599268741. The next prime is 145599268753. The reversal of 145599268752 is 257862995541.

145599268752 is a `hidden beast` number, since 1 + 4 + 559 + 9 + 2 + 6 + 8 + 75 + 2 = 666.

It is a super-2 number, since 2×145599268752² (a number of 23 digits) contains 22 as substring.

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 145599268752.

It is not an unprimeable number, because it can be changed into a prime (145599268753) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106043938 + ... + 106045310.

It is an arithmetic number, because the mean of its divisors is an integer number (1052071800).

Almost surely, 2^145599268752 is an apocalyptic number.

145599268752 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 145599268752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252497232000).

145599268752 is an abundant number, since it is smaller than the sum of its proper divisors (359395195248).

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

145599268752 is a wasteful number, since it uses less digits than its factorization.

145599268752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1517 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 63.

The spelling of 145599268752 in words is "one hundred forty-five billion, five hundred ninety-nine million, two hundred sixty-eight thousand, seven hundred fifty-two".