145814353520 has 80 divisors (see below), whose sum is σ = 374294293632. Its totient is φ = 52384538880.

The previous prime is 145814353459. The next prime is 145814353537. The reversal of 145814353520 is 25353418541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×145814353520³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 925142 + ... + 1071221.

Almost surely, 2^145814353520 is an apocalyptic number.

145814353520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145814353520 is an abundant number, since it is smaller than the sum of its proper divisors (228479940112).

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

145814353520 is a wasteful number, since it uses less digits than its factorization.

145814353520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996470 (or 1996464 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 41.

The spelling of 145814353520 in words is "one hundred forty-five billion, eight hundred fourteen million, three hundred fifty-three thousand, five hundred twenty".