387135406000 has 320 divisors, whose sum is σ = 1086626451456. Its totient is φ = 130659456000.

The previous prime is 387135405991. The next prime is 387135406037. The reversal of 387135406000 is 604531783.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 500821614 + ... + 500822386.

Almost surely, 2^387135406000 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 387135406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543313225728).

387135406000 is an abundant number, since it is smaller than the sum of its proper divisors (699491045456).

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

387135406000 is a wasteful number, since it uses less digits than its factorization.

387135406000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

Adding to 387135406000 its reverse (604531783), we get a palindrome (387739937783).

The spelling of 387135406000 in words is "three hundred eighty-seven billion, one hundred thirty-five million, four hundred six thousand".