152345040 has 80 divisors (see below), whose sum is σ = 497140800. Its totient is φ = 38486016.

The previous prime is 152345023. The next prime is 152345071. The reversal of 152345040 is 40543251.

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

It is a super-3 number, since 3×152345040³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 152345040.

It is a congruent number.

It is an unprimeable number.

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, 12145 + ... + 21264.

It is an arithmetic number, because the mean of its divisors is an integer number (6214260).

Almost surely, 2^152345040 is an apocalyptic number.

152345040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152345040 is an abundant number, since it is smaller than the sum of its proper divisors (344795760).

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

152345040 is a wasteful number, since it uses less digits than its factorization.

152345040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33444 (or 33438 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 152345040 is about 12342.8132935729. The cubic root of 152345040 is about 534.0838426896.

Adding to 152345040 its reverse (40543251), we get a palindrome (192888291).

The spelling of 152345040 in words is "one hundred fifty-two million, three hundred forty-five thousand, forty".