145372128 has 192 divisors, whose sum is σ = 444165120. Its totient is φ = 41216000.

The previous prime is 145372069. The next prime is 145372133. The reversal of 145372128 is 821273541.

It is a super-2 number, since 2×145372128² = 42266111198496768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1439278 + ... + 1439378.

It is an arithmetic number, because the mean of its divisors is an integer number (2313360).

Almost surely, 2^145372128 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 145372128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222082560).

145372128 is an abundant number, since it is smaller than the sum of its proper divisors (298792992).

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

145372128 is a wasteful number, since it uses less digits than its factorization.

145372128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 193 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 145372128 is about 12057.0364517986. The cubic root of 145372128 is about 525.8078302573.

It can be divided in two parts, 145 and 372128, that added together give a palindrome (372273).

The spelling of 145372128 in words is "one hundred forty-five million, three hundred seventy-two thousand, one hundred twenty-eight".