152185440 has 384 divisors, whose sum is σ = 579156480. Its totient is φ = 33177600.

The previous prime is 152185427. The next prime is 152185441. The reversal of 152185440 is 44581251.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 152185398 and 152185407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152185441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3711820 + ... + 3711860.

It is an arithmetic number, because the mean of its divisors is an integer number (1508220).

Almost surely, 2^152185440 is an apocalyptic number.

152185440 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 152185440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289578240).

152185440 is an abundant number, since it is smaller than the sum of its proper divisors (426971040).

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

152185440 is a wasteful number, since it uses less digits than its factorization.

152185440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 152185440 is about 12336.3462986413. The cubic root of 152185440 is about 533.8972715461.

The spelling of 152185440 in words is "one hundred fifty-two million, one hundred eighty-five thousand, four hundred forty".