145535620032 has 336 divisors, whose sum is σ = 468661894272. Its totient is φ = 42791639040.

The previous prime is 145535620007. The next prime is 145535620037. The reversal of 145535620032 is 230026535541.

145535620032 is a `hidden beast` number, since 1 + 4 + 553 + 56 + 20 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145535620037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122607343 + ... + 122608529.

Almost surely, 2^145535620032 is an apocalyptic number.

145535620032 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 145535620032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234330947136).

145535620032 is an abundant number, since it is smaller than the sum of its proper divisors (323126274240).

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

145535620032 is a wasteful number, since it uses less digits than its factorization.

145535620032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

It can be divided in two parts, 145535 and 620032, that added together give a palindrome (765567).

The spelling of 145535620032 in words is "one hundred forty-five billion, five hundred thirty-five million, six hundred twenty thousand, thirty-two".