153402460044160 has 128 divisors (see below), whose sum is σ = 370174617064800. Its totient is φ = 60784314802176.

The previous prime is 153402460044121. The next prime is 153402460044277. The reversal of 153402460044160 is 61440064204351.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×153402460044160³ (a number of 44 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1627927926 + ... + 1628022154.

Almost surely, 2^{153402460044160} is an apocalyptic number.

153402460044160 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 153402460044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185087308532400).

153402460044160 is an abundant number, since it is smaller than the sum of its proper divisors (216772157020640).

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

153402460044160 is a wasteful number, since it uses less digits than its factorization.

153402460044160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118128 (or 118116 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 153402460044160 in words is "one hundred fifty-three trillion, four hundred two billion, four hundred sixty million, forty-four thousand, one hundred sixty".