6135156374400 has 288 divisors, whose sum is σ = 21912347467920. Its totient is φ = 1634494464000.

The previous prime is 6135156374393. The next prime is 6135156374441. The reversal of 6135156374400 is 44736515316.

6135156374400 is a `hidden beast` number, since 6 + 1 + 3 + 5 + 1 + 5 + 637 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30514200 + ... + 30714600.

Almost surely, 2^{6135156374400} is an apocalyptic number.

6135156374400 is a gapful number since it is divisible by the number (60) 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 6135156374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10956173733960).

6135156374400 is an abundant number, since it is smaller than the sum of its proper divisors (15777191093520).

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

6135156374400 is a wasteful number, since it uses less digits than its factorization.

6135156374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201494 (or 201474 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 6135156374400 in words is "six trillion, one hundred thirty-five billion, one hundred fifty-six million, three hundred seventy-four thousand, four hundred".