135153747400 has 96 divisors (see below), whose sum is σ = 359352000000. Its totient is φ = 46308856320.

The previous prime is 135153747373. The next prime is 135153747431. The reversal of 135153747400 is 4747351531.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2222601 + ... + 2282599.

It is an arithmetic number, because the mean of its divisors is an integer number (3743250000).

Almost surely, 2^135153747400 is an apocalyptic number.

135153747400 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 135153747400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179676000000).

135153747400 is an abundant number, since it is smaller than the sum of its proper divisors (224198252600).

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

135153747400 is a wasteful number, since it uses less digits than its factorization.

135153747400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61631 (or 61622 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The spelling of 135153747400 in words is "one hundred thirty-five billion, one hundred fifty-three million, seven hundred forty-seven thousand, four hundred".