1131525158400 has 2400 divisors, whose sum is σ = 5260440810240. Its totient is φ = 233862266880.

The previous prime is 1131525158389. The next prime is 1131525158411. The reversal of 1131525158400 is 48515251311.

1131525158400 is a `hidden beast` number, since 1 + 1 + 3 + 152 + 51 + 58 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (1131525158389) and next prime (1131525158411).

It is a tau number, because it is divible by the number of its divisors (2400).

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 (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6321369511 + ... + 6321369689.

Almost surely, 2^{1131525158400} is an apocalyptic number.

1131525158400 is a gapful number since it is divisible by the number (10) 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 1131525158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630220405120).

1131525158400 is an abundant number, since it is smaller than the sum of its proper divisors (4128915651840).

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

1131525158400 is a wasteful number, since it uses less digits than its factorization.

1131525158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 1131525158400 in words is "one trillion, one hundred thirty-one billion, five hundred twenty-five million, one hundred fifty-eight thousand, four hundred".