145401264624 has 240 divisors, whose sum is σ = 474484075520. Its totient is φ = 37556006400.

The previous prime is 145401264601. The next prime is 145401264647. The reversal of 145401264624 is 426462104541.

145401264624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145401264601) and next prime (145401264647).

It is a super-2 number, since 2×145401264624² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7348857 + ... + 7368615.

Almost surely, 2^145401264624 is an apocalyptic number.

145401264624 is a gapful number since it is divisible by the number (14) 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 145401264624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237242037760).

145401264624 is an abundant number, since it is smaller than the sum of its proper divisors (329082810896).

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

145401264624 is a wasteful number, since it uses less digits than its factorization.

145401264624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19980 (or 19963 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 145401264624 in words is "one hundred forty-five billion, four hundred one million, two hundred sixty-four thousand, six hundred twenty-four".