213154008 has 128 divisors (see below), whose sum is σ = 583296000. Its totient is φ = 64696320.

The previous prime is 213153991. The next prime is 213154009. The reversal of 213154008 is 800451312.

213154008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213154008² = 90869262252928128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213154009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2197416 + ... + 2197512.

It is an arithmetic number, because the mean of its divisors is an integer number (4557000).

Almost surely, 2^213154008 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 213154008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291648000).

213154008 is an abundant number, since it is smaller than the sum of its proper divisors (370141992).

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

213154008 is a wasteful number, since it uses less digits than its factorization.

213154008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 213154008 is about 14599.7947930784. The cubic root of 213154008 is about 597.3531631495.

The spelling of 213154008 in words is "two hundred thirteen million, one hundred fifty-four thousand, eight".