153962064400 has 135 divisors (see below), whose sum is σ = 387129277479. Its totient is φ = 58838165760.

The previous prime is 153962064397. The next prime is 153962064401. The reversal of 153962064400 is 4460269351.

The square root of 153962064400 is 392380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 61565519376 + 92396545024 = 248124^2 + 303968^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (153962064401) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 180494374 + ... + 180495226.

Almost surely, 2^153962064400 is an apocalyptic number.

153962064400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

153962064400 is the 392380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153962064400

153962064400 is an abundant number, since it is smaller than the sum of its proper divisors (233167213079).

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

153962064400 is an frugal number, since it uses more digits than its factorization.

153962064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 153962064400 in words is "one hundred fifty-three billion, nine hundred sixty-two million, sixty-four thousand, four hundred".