145386535259952 has 720 divisors, whose sum is σ = 495341950371840. Its totient is φ = 38975245424640.

The previous prime is 145386535259947. The next prime is 145386535259981. The reversal of 145386535259952 is 259952535683541.

145386535259952 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 8 + 6 + 5 + 3 + 525 + 9 + 95 + 2 = 666.

It is a super-2 number, since 2×145386535259952² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 4172121793 + ... + 4172156639.

It is an arithmetic number, because the mean of its divisors is an integer number (687974931072).

Almost surely, 2^{145386535259952} is an apocalyptic number.

145386535259952 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 145386535259952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247670975185920).

145386535259952 is an abundant number, since it is smaller than the sum of its proper divisors (349955415111888).

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

145386535259952 is a wasteful number, since it uses less digits than its factorization.

145386535259952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35062 (or 35022 counting only the distinct ones).

The product of its digits is 1749600000, while the sum is 72.

The spelling of 145386535259952 in words is "one hundred forty-five trillion, three hundred eighty-six billion, five hundred thirty-five million, two hundred fifty-nine thousand, nine hundred fifty-two".