155930214400 has 135 divisors (see below), whose sum is σ = 387322880539. Its totient is φ = 62270996480.

The previous prime is 155930214389. The next prime is 155930214449. The reversal of 155930214400 is 4412039551.

The square root of 155930214400 is 394880.

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 73427992576 + 82502221824 = 270976^2 + 287232^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 252722892 + ... + 252723508.

Almost surely, 2^155930214400 is an apocalyptic number.

155930214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

155930214400 is the 394880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155930214400

155930214400 is an abundant number, since it is smaller than the sum of its proper divisors (231392666139).

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

155930214400 is an frugal number, since it uses more digits than its factorization.

155930214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 155930214400 in words is "one hundred fifty-five billion, nine hundred thirty million, two hundred fourteen thousand, four hundred".