153400326642 has 72 divisors (see below), whose sum is σ = 353252732976. Its totient is φ = 48100477824.

The previous prime is 153400326589. The next prime is 153400326647. The reversal of 153400326642 is 246623004351.

153400326642 is a `hidden beast` number, since 1 + 5 + 3 + 4 + 0 + 0 + 3 + 2 + 6 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 153400326597 and 153400326606.

It is not an unprimeable number, because it can be changed into a prime (153400326647) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11661513 + ... + 11674659.

It is an arithmetic number, because the mean of its divisors is an integer number (4906287958).

Almost surely, 2^153400326642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153400326642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176626366488).

153400326642 is an abundant number, since it is smaller than the sum of its proper divisors (199852406334).

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

153400326642 is a wasteful number, since it uses less digits than its factorization.

153400326642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15432 (or 15412 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 153400326642 in words is "one hundred fifty-three billion, four hundred million, three hundred twenty-six thousand, six hundred forty-two".