152663420 has 144 divisors (see below), whose sum is σ = 419888448. Its totient is φ = 46126080.

The previous prime is 152663411. The next prime is 152663429. The reversal of 152663420 is 24366251.

152663420 = 260² + 261² + ... + 780².

It is an interprime number because it is at equal distance from previous prime (152663411) and next prime (152663429).

It is a super-2 number, since 2×152663420² = 46612239612192800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152663429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292760 + ... + 293280.

It is an arithmetic number, because the mean of its divisors is an integer number (2915892).

Almost surely, 2^152663420 is an apocalyptic number.

152663420 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 152663420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209944224).

152663420 is an abundant number, since it is smaller than the sum of its proper divisors (267225028).

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

152663420 is a wasteful number, since it uses less digits than its factorization.

152663420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 152663420 is about 12355.7039459514. The cubic root of 152663420 is about 534.4556375239.

It can be divided in two parts, 1526 and 63420, that added together give a palindrome (64946).

The spelling of 152663420 in words is "one hundred fifty-two million, six hundred sixty-three thousand, four hundred twenty".