35135940 has 288 divisors, whose sum is σ = 130999680. Its totient is φ = 6967296.

The previous prime is 35135897. The next prime is 35135987. The reversal of 35135940 is 4953153.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 35135898 and 35135907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 949602 + ... + 949638.

It is an arithmetic number, because the mean of its divisors is an integer number (454860).

Almost surely, 2^35135940 is an apocalyptic number.

35135940 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 35135940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65499840).

35135940 is an abundant number, since it is smaller than the sum of its proper divisors (95863740).

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

35135940 is a wasteful number, since it uses less digits than its factorization.

35135940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 35135940 is about 5927.5576758054. The cubic root of 35135940 is about 327.5295779669.

It can be divided in two parts, 3513 and 5940, that added together give a triangular number (9453 = T₁₃₇).

The spelling of 35135940 in words is "thirty-five million, one hundred thirty-five thousand, nine hundred forty".