152126388 has 72 divisors (see below), whose sum is σ = 415789920. Its totient is φ = 46733760.

The previous prime is 152126383. The next prime is 152126411. The reversal of 152126388 is 883621251.

It is a happy number.

152126388 is a `hidden beast` number, since 1 + 5 + 2 + 12 + 638 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152126383) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 22303 + ... + 28313.

It is an arithmetic number, because the mean of its divisors is an integer number (5774860).

Almost surely, 2^152126388 is an apocalyptic number.

152126388 is a gapful number since it is divisible by the number (18) 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 152126388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207894960).

152126388 is an abundant number, since it is smaller than the sum of its proper divisors (263663532).

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

152126388 is a wasteful number, since it uses less digits than its factorization.

152126388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6077 (or 6072 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 152126388 is about 12333.9526511172. The cubic root of 152126388 is about 533.8282071633.

The spelling of 152126388 in words is "one hundred fifty-two million, one hundred twenty-six thousand, three hundred eighty-eight".