152004240 has 240 divisors, whose sum is σ = 544572288. Its totient is φ = 37914624.

The previous prime is 152004227. The next prime is 152004299. The reversal of 152004240 is 42400251.

It is a Cunningham number, because it is equal to 12329²-1.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 1109452 + ... + 1109588.

Almost surely, 2^152004240 is an apocalyptic number.

152004240 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 152004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272286144).

152004240 is an abundant number, since it is smaller than the sum of its proper divisors (392568048).

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

152004240 is a wasteful number, since it uses less digits than its factorization.

152004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 237 counting only the distinct ones).

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

The square root of 152004240 is about 12328.9999594452. Note that the first 4 decimals coincide. The cubic root of 152004240 is about 533.6852919890.

Adding to 152004240 its reverse (42400251), we get a palindrome (194404491).

The spelling of 152004240 in words is "one hundred fifty-two million, four thousand, two hundred forty".