135422150400 has 648 divisors, whose sum is σ = 528638248320. Its totient is φ = 34204446720.

The previous prime is 135422150393. The next prime is 135422150411. The reversal of 135422150400 is 4051224531.

135422150400 is a `hidden beast` number, since 1 + 3 + 5 + 42 + 215 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 29546509 + ... + 29551091.

Almost surely, 2^135422150400 is an apocalyptic number.

135422150400 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 135422150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264319124160).

135422150400 is an abundant number, since it is smaller than the sum of its proper divisors (393216097920).

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

135422150400 is an equidigital number, since it uses as much as digits as its factorization.

135422150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4643 (or 4612 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 135422150400 its reverse (4051224531), we get a palindrome (139473374931).

The spelling of 135422150400 in words is "one hundred thirty-five billion, four hundred twenty-two million, one hundred fifty thousand, four hundred".