145024105464 has 288 divisors, whose sum is σ = 485332979040. Its totient is φ = 38295244800.

The previous prime is 145024105367. The next prime is 145024105517. The reversal of 145024105464 is 464501420541.

145024105464 is a `hidden beast` number, since 1 + 4 + 502 + 4 + 105 + 46 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7449984 + ... + 7469424.

It is an arithmetic number, because the mean of its divisors is an integer number (1685183955).

Almost surely, 2^145024105464 is an apocalyptic number.

145024105464 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 145024105464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242666489520).

145024105464 is an abundant number, since it is smaller than the sum of its proper divisors (340308873576).

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

145024105464 is a wasteful number, since it uses less digits than its factorization.

145024105464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19539 (or 19513 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 145024105464 in words is "one hundred forty-five billion, twenty-four million, one hundred five thousand, four hundred sixty-four".