134131202021400 has 288 divisors, whose sum is σ = 430858257376560. Its totient is φ = 34493557432320.

The previous prime is 134131202021347. The next prime is 134131202021459. The reversal of 134131202021400 is 4120202131431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 283235214 + ... + 283708386.

Almost surely, 2^{134131202021400} is an apocalyptic number.

134131202021400 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 134131202021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215429128688280).

134131202021400 is an abundant number, since it is smaller than the sum of its proper divisors (296727055355160).

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

134131202021400 is a wasteful number, since it uses less digits than its factorization.

134131202021400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473455 (or 473333 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 134131202021400 its reverse (4120202131431), we get a palindrome (138251404152831).

The spelling of 134131202021400 in words is "one hundred thirty-four trillion, one hundred thirty-one billion, two hundred two million, twenty-one thousand, four hundred".