153400342013520 has 320 divisors, whose sum is σ = 548504913200640. Its totient is φ = 34738507874304.

The previous prime is 153400342013447. The next prime is 153400342013543. The reversal of 153400342013520 is 25310243004351.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3111733512 + ... + 3111782808.

It is an arithmetic number, because the mean of its divisors is an integer number (1714077853752).

Almost surely, 2^{153400342013520} is an apocalyptic number.

153400342013520 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 153400342013520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274252456600320).

153400342013520 is an abundant number, since it is smaller than the sum of its proper divisors (395104571187120).

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

153400342013520 is a wasteful number, since it uses less digits than its factorization.

153400342013520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66422 (or 66416 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 153400342013520 its reverse (25310243004351), we get a palindrome (178710585017871).

The spelling of 153400342013520 in words is "one hundred fifty-three trillion, four hundred billion, three hundred forty-two million, thirteen thousand, five hundred twenty".