145403955840 has 512 divisors, whose sum is σ = 552245299200. Its totient is φ = 32075366400.

The previous prime is 145403955833. The next prime is 145403955869. The reversal of 145403955840 is 48559304541.

It is a super-2 number, since 2×145403955840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 145403955840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19490031 + ... + 19497489.

It is an arithmetic number, because the mean of its divisors is an integer number (1078604100).

Almost surely, 2^145403955840 is an apocalyptic number.

145403955840 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 145403955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276122649600).

145403955840 is an abundant number, since it is smaller than the sum of its proper divisors (406841343360).

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

145403955840 is a wasteful number, since it uses less digits than its factorization.

145403955840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7576 (or 7564 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 145403955840 in words is "one hundred forty-five billion, four hundred three million, nine hundred fifty-five thousand, eight hundred forty".