145267162128 has 1280 divisors, whose sum is σ = 543050956800. Its totient is φ = 36578304000.

The previous prime is 145267162099. The next prime is 145267162151. The reversal of 145267162128 is 821261762541.

145267162128 is a `hidden beast` number, since 1 + 452 + 6 + 71 + 6 + 2 + 128 = 666.

It is a super-2 number, since 2×145267162128² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2046016333 + ... + 2046016403.

It is an arithmetic number, because the mean of its divisors is an integer number (424258560).

Almost surely, 2^145267162128 is an apocalyptic number.

145267162128 is a gapful number since it is divisible by the number (18) 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 145267162128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271525478400).

145267162128 is an abundant number, since it is smaller than the sum of its proper divisors (397783794672).

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

145267162128 is a wasteful number, since it uses less digits than its factorization.

145267162128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 197 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 145267162128 in words is "one hundred forty-five billion, two hundred sixty-seven million, one hundred sixty-two thousand, one hundred twenty-eight".