134214035252400 has 90 divisors (see below), whose sum is σ = 465759984014780. Its totient is φ = 35790409399680.

The previous prime is 134214035252399. The next prime is 134214035252413. The reversal of 134214035252400 is 4252530412431.

It is a happy number.

134214035252400 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 1 + 403 + 5 + 2 + 5 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18640834630 + ... + 18640841829.

Almost surely, 2^{134214035252400} is an apocalyptic number.

134214035252400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134214035252400 is an abundant number, since it is smaller than the sum of its proper divisors (331545948762380).

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

134214035252400 is a wasteful number, since it uses less digits than its factorization.

134214035252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37281676483 (or 37281676469 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 134214035252400 its reverse (4252530412431), we get a palindrome (138466565664831).

The spelling of 134214035252400 in words is "one hundred thirty-four trillion, two hundred fourteen billion, thirty-five million, two hundred fifty-two thousand, four hundred".