35142000 has 80 divisors (see below), whose sum is σ = 113317152. Its totient is φ = 9369600.

The previous prime is 35141989. The next prime is 35142013. The reversal of 35142000 is 24153.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 3072 + ... + 8928.

Almost surely, 2^35142000 is an apocalyptic number.

35142000 is a gapful number since it is divisible by the number (30) 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 35142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56658576).

35142000 is an abundant number, since it is smaller than the sum of its proper divisors (78175152).

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

35142000 is a wasteful number, since it uses less digits than its factorization.

35142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 35142000 is about 5928.0688255114. The cubic root of 35142000 is about 327.5484068843.

Adding to 35142000 its reverse (24153), we get a palindrome (35166153).

The spelling of 35142000 in words is "thirty-five million, one hundred forty-two thousand".