145612080 has 200 divisors, whose sum is σ = 528260832. Its totient is φ = 37103616.

The previous prime is 145612079. The next prime is 145612109. The reversal of 145612080 is 80216541.

145612080 is a `hidden beast` number, since 1 + 4 + 561 + 20 + 80 = 666.

145612080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 148552 + ... + 149528.

Almost surely, 2^145612080 is an apocalyptic number.

145612080 is a gapful number since it is divisible by the number (10) 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 145612080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264130416).

145612080 is an abundant number, since it is smaller than the sum of its proper divisors (382648752).

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

145612080 is a wasteful number, since it uses less digits than its factorization.

145612080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 145612080 is about 12066.9830529424. The cubic root of 145612080 is about 526.0969716207.

It can be divided in two parts, 14561 and 2080, that added together give a square (16641 = 129²).

The spelling of 145612080 in words is "one hundred forty-five million, six hundred twelve thousand, eighty".