1126131153400 has 192 divisors, whose sum is σ = 2977626562560. Its totient is φ = 392366400000.

The previous prime is 1126131153397. The next prime is 1126131153401. The reversal of 1126131153400 is 43511316211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126131153401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6806457 + ... + 6969943.

It is an arithmetic number, because the mean of its divisors is an integer number (15508471680).

Almost surely, 2^{1126131153400} is an apocalyptic number.

1126131153400 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 1126131153400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488813281280).

1126131153400 is an abundant number, since it is smaller than the sum of its proper divisors (1851495409160).

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

1126131153400 is a wasteful number, since it uses less digits than its factorization.

1126131153400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163646 (or 163637 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

Adding to 1126131153400 its reverse (43511316211), we get a palindrome (1169642469611).

The spelling of 1126131153400 in words is "one trillion, one hundred twenty-six billion, one hundred thirty-one million, one hundred fifty-three thousand, four hundred".