155291164900 has 81 divisors (see below), whose sum is σ = 340498426107. Its totient is φ = 61474920000.

The previous prime is 155291164849. The next prime is 155291164901. The reversal of 155291164900 is 9461192551.

The square root of 155291164900 is 394070.

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 18781606116 + 136509558784 = 137046^2 + 369472^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (155291164901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 618689775 + ... + 618690025.

Almost surely, 2^155291164900 is an apocalyptic number.

155291164900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

155291164900 is the 394070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155291164900

155291164900 is an abundant number, since it is smaller than the sum of its proper divisors (185207261207).

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

155291164900 is an equidigital number, since it uses as much as digits as its factorization.

155291164900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 43.

The spelling of 155291164900 in words is "one hundred fifty-five billion, two hundred ninety-one million, one hundred sixty-four thousand, nine hundred".