145264240 has 80 divisors (see below), whose sum is σ = 370262016. Its totient is φ = 52563200.

The previous prime is 145264237. The next prime is 145264247. The reversal of 145264240 is 42462541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×145264240² = 42203398845555200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145264199 and 145264208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145264247) 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 15 ways as a sum of consecutive naturals, for example, 336825 + ... + 337255.

Almost surely, 2^145264240 is an apocalyptic number.

145264240 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 145264240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185131008).

145264240 is an abundant number, since it is smaller than the sum of its proper divisors (224997776).

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

145264240 is a wasteful number, since it uses less digits than its factorization.

145264240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 145264240 is about 12052.5615534624. The cubic root of 145264240 is about 525.6777218809.

The spelling of 145264240 in words is "one hundred forty-five million, two hundred sixty-four thousand, two hundred forty".