290635030152 has 160 divisors (see below), whose sum is σ = 839225522520. Its totient is φ = 93912099840.

The previous prime is 290635030129. The next prime is 290635030177. The reversal of 290635030152 is 251030536092.

290635030152 is a `hidden beast` number, since 2 + 9 + 0 + 635 + 0 + 3 + 0 + 15 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52035996996 + 238599033156 = 228114^2 + 488466^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4136338 + ... + 4206014.

Almost surely, 2^290635030152 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 290635030152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419612761260).

290635030152 is an abundant number, since it is smaller than the sum of its proper divisors (548590492368).

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

290635030152 is a wasteful number, since it uses less digits than its factorization.

290635030152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69893 (or 69880 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 290635030152 in words is "two hundred ninety billion, six hundred thirty-five million, thirty thousand, one hundred fifty-two".