145177427344236 has 768 divisors, whose sum is σ = 463167258624000. Its totient is φ = 34377195847680.

The previous prime is 145177427344231. The next prime is 145177427344241. The reversal of 145177427344236 is 632443724771541.

It is an interprime number because it is at equal distance from previous prime (145177427344231) and next prime (145177427344241).

It is a self number, because there is not a number n which added to its sum of digits gives 145177427344236.

It is not an unprimeable number, because it can be changed into a prime (145177427344231) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4707576505 + ... + 4707607343.

It is an arithmetic number, because the mean of its divisors is an integer number (603082368000).

Almost surely, 2^{145177427344236} 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 145177427344236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231583629312000).

145177427344236 is an abundant number, since it is smaller than the sum of its proper divisors (317989831279764).

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

145177427344236 is a wasteful number, since it uses less digits than its factorization.

145177427344236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31142 (or 31140 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 60.

The spelling of 145177427344236 in words is "one hundred forty-five trillion, one hundred seventy-seven billion, four hundred twenty-seven million, three hundred forty-four thousand, two hundred thirty-six".