134461142159400 has 384 divisors, whose sum is σ = 529515223142400. Its totient is φ = 30721905504000.

The previous prime is 134461142159257. The next prime is 134461142159437. The reversal of 134461142159400 is 4951241164431.

134461142159400 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 6 + 11 + 42 + 1 + 594 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95730589 + ... + 97125011.

It is an arithmetic number, because the mean of its divisors is an integer number (1378945893600).

Almost surely, 2^{134461142159400} is an apocalyptic number.

134461142159400 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 134461142159400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264757611571200).

134461142159400 is an abundant number, since it is smaller than the sum of its proper divisors (395054080983000).

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

134461142159400 is a wasteful number, since it uses less digits than its factorization.

134461142159400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397006 (or 1396991 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 134461142159400 in words is "one hundred thirty-four trillion, four hundred sixty-one billion, one hundred forty-two million, one hundred fifty-nine thousand, four hundred".