213780136500 has 288 divisors, whose sum is σ = 771762700800. Its totient is φ = 48799756800.

The previous prime is 213780136477. The next prime is 213780136529. The reversal of 213780136500 is 5631087312.

213780136500 is a `hidden beast` number, since 2 + 13 + 7 + 8 + 0 + 136 + 500 = 666.

It is a super-4 number, since 4×213780136500⁴ (a number of 46 digits) contains 4444 as substring.

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

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, 26424456 + ... + 26432544.

It is an arithmetic number, because the mean of its divisors is an integer number (2679731600).

Almost surely, 2^213780136500 is an apocalyptic number.

213780136500 is a gapful number since it is divisible by the number (20) 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 213780136500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385881350400).

213780136500 is an abundant number, since it is smaller than the sum of its proper divisors (557982564300).

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

213780136500 is a wasteful number, since it uses less digits than its factorization.

213780136500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8960 (or 8945 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 213780136500 in words is "two hundred thirteen billion, seven hundred eighty million, one hundred thirty-six thousand, five hundred".