95135040 has 672 divisors, whose sum is σ = 454030080. Its totient is φ = 18247680.

The previous prime is 95134979. The next prime is 95135041. The reversal of 95135040 is 4053159.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 95134995 and 95135013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95135041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7318074 + ... + 7318086.

It is an arithmetic number, because the mean of its divisors is an integer number (675640).

Almost surely, 2^95135040 is an apocalyptic number.

95135040 is a gapful number since it is divisible by the number (90) 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 95135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227015040).

95135040 is an abundant number, since it is smaller than the sum of its proper divisors (358895040).

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

95135040 is a wasteful number, since it uses less digits than its factorization.

95135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 95135040 is about 9753.7192906091. The cubic root of 95135040 is about 456.5063627119.

Adding to 95135040 its reverse (4053159), we get a palindrome (99188199).

The spelling of 95135040 in words is "ninety-five million, one hundred thirty-five thousand, forty".