238137624000 has 896 divisors, whose sum is σ = 910654617600. Its totient is φ = 60872601600.

The previous prime is 238137623987. The next prime is 238137624017. The reversal of 238137624000 is 426731832.

It is a happy number.

238137624000 is a `hidden beast` number, since 2 + 381 + 37 + 6 + 240 + 0 + 0 = 666.

238137624000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 663335821 + ... + 663336179.

It is an arithmetic number, because the mean of its divisors is an integer number (1016355600).

Almost surely, 2^238137624000 is an apocalyptic number.

238137624000 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 238137624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455327308800).

238137624000 is an abundant number, since it is smaller than the sum of its proper divisors (672516993600).

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

238137624000 is a wasteful number, since it uses less digits than its factorization.

238137624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 238137624000 in words is "two hundred thirty-eight billion, one hundred thirty-seven million, six hundred twenty-four thousand".