135142167400 has 48 divisors (see below), whose sum is σ = 314230741740. Its totient is φ = 54052531200.

The previous prime is 135142167397. The next prime is 135142167409. The reversal of 135142167400 is 4761241531.

It can be written as a sum of positive squares in 6 ways, for example, as 17324350884 + 117817816516 = 131622^2 + 343246^2 .

It is not an unprimeable number, because it can be changed into a prime (135142167409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3870822 + ... + 3905578.

Almost surely, 2^135142167400 is an apocalyptic number.

135142167400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135142167400 is an abundant number, since it is smaller than the sum of its proper divisors (179088574340).

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

135142167400 is a wasteful number, since it uses less digits than its factorization.

135142167400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54214 (or 54205 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 135142167400 in words is "one hundred thirty-five billion, one hundred forty-two million, one hundred sixty-seven thousand, four hundred".