208207302138000 has 480 divisors, whose sum is σ = 793440847285632. Its totient is φ = 50466024576000.

The previous prime is 208207302137987. The next prime is 208207302138013. The reversal of 208207302138000 is 831203702802.

It is a happy number.

208207302138000 is a `hidden beast` number, since 20 + 8 + 207 + 30 + 21 + 380 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (208207302137987) and next prime (208207302138013).

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 95 ways as a sum of consecutive naturals, for example, 1222168827 + ... + 1222339173.

Almost surely, 2^{208207302138000} is an apocalyptic number.

208207302138000 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 208207302138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396720423642816).

208207302138000 is an abundant number, since it is smaller than the sum of its proper divisors (585233545147632).

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

208207302138000 is a wasteful number, since it uses less digits than its factorization.

208207302138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176560 (or 176541 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 208207302138000 in words is "two hundred eight trillion, two hundred seven billion, three hundred two million, one hundred thirty-eight thousand".