145276128 has 144 divisors (see below), whose sum is σ = 440294400. Its totient is φ = 45308160.

The previous prime is 145276123. The next prime is 145276151. The reversal of 145276128 is 821672541.

145276128 is a `hidden beast` number, since 1 + 4 + 527 + 6 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×145276128² = 42210306733344768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 145276092 and 145276101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145276123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 760513 + ... + 760703.

It is an arithmetic number, because the mean of its divisors is an integer number (3057600).

Almost surely, 2^145276128 is an apocalyptic number.

145276128 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 145276128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

145276128 is an abundant number, since it is smaller than the sum of its proper divisors (295018272).

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

145276128 is a wasteful number, since it uses less digits than its factorization.

145276128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 354 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 145276128 is about 12053.0547165439. The cubic root of 145276128 is about 525.6920614649.

The spelling of 145276128 in words is "one hundred forty-five million, two hundred seventy-six thousand, one hundred twenty-eight".