151601209600 has 243 divisors, whose sum is σ = 390216913191. Its totient is φ = 58310553600.

The previous prime is 151601209583. The next prime is 151601209663. The reversal of 151601209600 is 6902106151.

The square root of 151601209600 is 389360.

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 18335326464 + 133265883136 = 135408^2 + 365056^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 965612722 + ... + 965612878.

Almost surely, 2^151601209600 is an apocalyptic number.

151601209600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

151601209600 is the 389360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151601209600

151601209600 is an abundant number, since it is smaller than the sum of its proper divisors (238615703591).

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

151601209600 is an frugal number, since it uses more digits than its factorization.

151601209600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

It can be divided in two parts, 151601 and 209600, that added together give a square (361201 = 601²).

The spelling of 151601209600 in words is "one hundred fifty-one billion, six hundred one million, two hundred nine thousand, six hundred".