145503029898240 has 2112 divisors, whose sum is σ = 595573225943040. Its totient is φ = 30089800581120.

The previous prime is 145503029898229. The next prime is 145503029898307. The reversal of 145503029898240 is 42898920305541.

It is a super-2 number, since 2×145503029898240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100554961197 + ... + 100554962643.

Almost surely, 2^{145503029898240} is an apocalyptic number.

145503029898240 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 145503029898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297786612971520).

145503029898240 is an abundant number, since it is smaller than the sum of its proper divisors (450070196044800).

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

145503029898240 is a wasteful number, since it uses less digits than its factorization.

145503029898240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 60.

The spelling of 145503029898240 in words is "one hundred forty-five trillion, five hundred three billion, twenty-nine million, eight hundred ninety-eight thousand, two hundred forty".