356252148 has 192 divisors, whose sum is σ = 1102080000. Its totient is φ = 99447264.

The previous prime is 356252131. The next prime is 356252161. The reversal of 356252148 is 841252653.

356252148 is a `hidden beast` number, since 3 + 5 + 625 + 21 + 4 + 8 = 666.

It is a super-2 number, since 2×356252148² = 253831185909227808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (57600) is a multiple of the sum of its prime factors (256).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2185515 + ... + 2185677.

It is an arithmetic number, because the mean of its divisors is an integer number (5740000).

Almost surely, 2^356252148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 356252148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551040000).

356252148 is an abundant number, since it is smaller than the sum of its proper divisors (745827852).

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

356252148 is a wasteful number, since it uses less digits than its factorization.

356252148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 234 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 356252148 is about 18874.6429900012. The cubic root of 356252148 is about 708.9013942706.

It can be divided in two parts, 35625 and 2148, that added together give a palindrome (37773).

The spelling of 356252148 in words is "three hundred fifty-six million, two hundred fifty-two thousand, one hundred forty-eight".