135539762400 has 1944 divisors, whose sum is σ = 631013737536. Its totient is φ = 28217548800.

The previous prime is 135539762399. The next prime is 135539762401. The reversal of 135539762400 is 4267935531.

135539762400 is a `hidden beast` number, since 1 + 3 + 5 + 539 + 76 + 2 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135539762399) and next prime (135539762401).

It is a tau number, because it is divible by the number of its divisors (1944).

It is a super-3 number, since 3×135539762400³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135539762401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 4372250385 + ... + 4372250415.

It is an arithmetic number, because the mean of its divisors is an integer number (324595544).

Almost surely, 2^135539762400 is an apocalyptic number.

135539762400 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 135539762400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315506868768).

135539762400 is an abundant number, since it is smaller than the sum of its proper divisors (495473975136).

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

135539762400 is an equidigital number, since it uses as much as digits as its factorization.

135539762400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 135539762400 in words is "one hundred thirty-five billion, five hundred thirty-nine million, seven hundred sixty-two thousand, four hundred".