152400213 has 48 divisors (see below), whose sum is σ = 260447616. Its totient is φ = 84067200.

The previous prime is 152400211. The next prime is 152400233. The reversal of 152400213 is 312004251.

152400213 is a `hidden beast` number, since 1 + 52 + 400 + 213 = 666.

It is not a de Polignac number, because 152400213 - 2¹ = 152400211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152400211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273331 + ... + 273887.

It is an arithmetic number, because the mean of its divisors is an integer number (5425992).

Almost surely, 2^152400213 is an apocalyptic number.

It is an amenable number.

152400213 is a deficient number, since it is larger than the sum of its proper divisors (108047403).

152400213 is a wasteful number, since it uses less digits than its factorization.

152400213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 152400213 is about 12345.0481165526. The cubic root of 152400213 is about 534.1483091825.

Adding to 152400213 its reverse (312004251), we get a palindrome (464404464).

The spelling of 152400213 in words is "one hundred fifty-two million, four hundred thousand, two hundred thirteen".