153414151600 has 120 divisors (see below), whose sum is σ = 381359119232. Its totient is φ = 59246899200.

The previous prime is 153414151573. The next prime is 153414151679. The reversal of 153414151600 is 6151414351.

It is a super-2 number, since 2×153414151600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5354914 + ... + 5383486.

Almost surely, 2^153414151600 is an apocalyptic number.

153414151600 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 153414151600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190679559616).

153414151600 is an abundant number, since it is smaller than the sum of its proper divisors (227944967632).

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

153414151600 is a wasteful number, since it uses less digits than its factorization.

153414151600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29055 (or 29044 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

Adding to 153414151600 its reverse (6151414351), we get a palindrome (159565565951).

The spelling of 153414151600 in words is "one hundred fifty-three billion, four hundred fourteen million, one hundred fifty-one thousand, six hundred".