145142247505920 has 480 divisors, whose sum is σ = 530991187388928. Its totient is φ = 33162780475392.

The previous prime is 145142247505859. The next prime is 145142247505943. The reversal of 145142247505920 is 29505742241541.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×145142247505920² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4983752479 + ... + 4983781601.

Almost surely, 2^{145142247505920} is an apocalyptic number.

145142247505920 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 145142247505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265495593694464).

145142247505920 is an abundant number, since it is smaller than the sum of its proper divisors (385848939883008).

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

145142247505920 is an equidigital number, since it uses as much as digits as its factorization.

145142247505920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32063 (or 32037 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 51.

The spelling of 145142247505920 in words is "one hundred forty-five trillion, one hundred forty-two billion, two hundred forty-seven million, five hundred five thousand, nine hundred twenty".