145607040 has 192 divisors, whose sum is σ = 532733760. Its totient is φ = 36519936.

The previous prime is 145607039. The next prime is 145607047. The reversal of 145607040 is 40706541.

145607040 is a `hidden beast` number, since 14 + 5 + 607 + 0 + 40 = 666.

145607040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 145606995 and 145607013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145607047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97177 + ... + 98663.

It is an arithmetic number, because the mean of its divisors is an integer number (2774655).

Almost surely, 2^145607040 is an apocalyptic number.

145607040 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 145607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266366880).

145607040 is an abundant number, since it is smaller than the sum of its proper divisors (387126720).

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

145607040 is a wasteful number, since it uses less digits than its factorization.

145607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 145607040 is about 12066.7742168319. The cubic root of 145607040 is about 526.0909017046.

The spelling of 145607040 in words is "one hundred forty-five million, six hundred seven thousand, forty".