35138752 has 112 divisors (see below), whose sum is σ = 83393280. Its totient is φ = 14515200.

The previous prime is 35138743. The next prime is 35138777. The reversal of 35138752 is 25783153.

Its product of digits (25200) is a multiple of the sum of its prime divisors (140).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494877 + ... + 494947.

Almost surely, 2^35138752 is an apocalyptic number.

35138752 is a gapful number since it is divisible by the number (32) 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 35138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41696640).

35138752 is an abundant number, since it is smaller than the sum of its proper divisors (48254528).

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

35138752 is a wasteful number, since it uses less digits than its factorization.

35138752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its digits is 25200, while the sum is 34.

The square root of 35138752 is about 5927.7948682457. The cubic root of 35138752 is about 327.5383153509.

The spelling of 35138752 in words is "thirty-five million, one hundred thirty-eight thousand, seven hundred fifty-two".