153400045200400 has 60 divisors (see below), whose sum is σ = 369531661523332. Its totient is φ = 61195513950720.

The previous prime is 153400045200301. The next prime is 153400045200419. The reversal of 153400045200400 is 4002540004351.

It can be written as a sum of positive squares in 6 ways, for example, as 8754876170496 + 144645169029904 = 2958864^2 + 12026852^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 513926019 + ... + 514224418.

Almost surely, 2^{153400045200400} is an apocalyptic number.

153400045200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153400045200400 is an abundant number, since it is smaller than the sum of its proper divisors (216131616322932).

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

153400045200400 is a wasteful number, since it uses less digits than its factorization.

153400045200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028150828 (or 1028150817 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 153400045200400 its reverse (4002540004351), we get a palindrome (157402585204751).

The spelling of 153400045200400 in words is "one hundred fifty-three trillion, four hundred billion, forty-five million, two hundred thousand, four hundred".