134101172400 has 480 divisors, whose sum is σ = 474002286912. Its totient is φ = 32204390400.

The previous prime is 134101172383. The next prime is 134101172441. The reversal of 134101172400 is 4271101431.

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

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, 199258464 + ... + 199259136.

Almost surely, 2^134101172400 is an apocalyptic number.

134101172400 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 134101172400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237001143456).

134101172400 is an abundant number, since it is smaller than the sum of its proper divisors (339901114512).

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

134101172400 is a wasteful number, since it uses less digits than its factorization.

134101172400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

Adding to 134101172400 its reverse (4271101431), we get a palindrome (138372273831).

The spelling of 134101172400 in words is "one hundred thirty-four billion, one hundred one million, one hundred seventy-two thousand, four hundred".