145115391564 has 480 divisors, whose sum is σ = 459809602560. Its totient is φ = 39555734400.

The previous prime is 145115391559. The next prime is 145115391569. The reversal of 145115391564 is 465193511541.

145115391564 is a `hidden beast` number, since 1 + 4 + 51 + 1 + 5 + 39 + 1 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (145115391559) and next prime (145115391569).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (324000) is a multiple of the sum of its prime factors (540).

It is not an unprimeable number, because it can be changed into a prime (145115391569) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 336694429 + ... + 336694859.

It is an arithmetic number, because the mean of its divisors is an integer number (957936672).

Almost surely, 2^145115391564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145115391564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229904801280).

145115391564 is an abundant number, since it is smaller than the sum of its proper divisors (314694210996).

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

145115391564 is a wasteful number, since it uses less digits than its factorization.

145115391564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 503 counting only the distinct ones).

The product of its digits is 324000, while the sum is 45.

The spelling of 145115391564 in words is "one hundred forty-five billion, one hundred fifteen million, three hundred ninety-one thousand, five hundred sixty-four".