145017902040 has 384 divisors, whose sum is σ = 517108561920. Its totient is φ = 32227891200.

The previous prime is 145017902017. The next prime is 145017902047. The reversal of 145017902040 is 40209710541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 145017901992 and 145017902010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145017902047) 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, 14767212 + ... + 14777028.

It is an arithmetic number, because the mean of its divisors is an integer number (1346636880).

Almost surely, 2^145017902040 is an apocalyptic number.

145017902040 is a gapful number since it is divisible by the number (10) 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 145017902040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258554280960).

145017902040 is an abundant number, since it is smaller than the sum of its proper divisors (372090659880).

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

145017902040 is a wasteful number, since it uses less digits than its factorization.

145017902040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9911 (or 9888 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 145017902040 in words is "one hundred forty-five billion, seventeen million, nine hundred two thousand, forty".