1452690144 has 144 divisors (see below), whose sum is σ = 4431445200. Its totient is φ = 449998848.

The previous prime is 1452690133. The next prime is 1452690149. The reversal of 1452690144 is 4410962541.

1452690144 is a `hidden beast` number, since 1 + 4 + 526 + 90 + 1 + 44 = 666.

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

It is a super-2 number, since 2×1452690144² = 4220617308949481472, 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 = 1452690099 and 1452690108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1452690149) 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, 287512 + ... + 292520.

It is an arithmetic number, because the mean of its divisors is an integer number (30773925).

Almost surely, 2^1452690144 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 1452690144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215722600).

1452690144 is an abundant number, since it is smaller than the sum of its proper divisors (2978755056).

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

1452690144 is a wasteful number, since it uses less digits than its factorization.

1452690144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5097 (or 5086 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1452690144 is about 38114.1724821621. The cubic root of 1452690144 is about 1132.5507273741.

The spelling of 1452690144 in words is "one billion, four hundred fifty-two million, six hundred ninety thousand, one hundred forty-four".