152400240 has 120 divisors (see below), whose sum is σ = 541960848. Its totient is φ = 38246400.

The previous prime is 152400233. The next prime is 152400251. The reversal of 152400240 is 42004251.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6015 + ... + 18465.

Almost surely, 2^152400240 is an apocalyptic number.

152400240 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 152400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270980424).

152400240 is an abundant number, since it is smaller than the sum of its proper divisors (389560608).

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

152400240 is a wasteful number, since it uses less digits than its factorization.

152400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12487 (or 12478 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 152400240 is about 12345.0492101085. The cubic root of 152400240 is about 534.1483407267.

Adding to 152400240 its reverse (42004251), we get a palindrome (194404491).

The spelling of 152400240 in words is "one hundred fifty-two million, four hundred thousand, two hundred forty".