151205143150400 has 84 divisors (see below), whose sum is σ = 372141981683052. Its totient is φ = 60468592988160.

The previous prime is 151205143150393. The next prime is 151205143150591. The reversal of 151205143150400 is 4051341502151.

It can be written as a sum of positive squares in 6 ways, for example, as 39663494026816 + 111541649123584 = 6297896^2 + 10561328^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 3327917 + ... + 17705516.

It is an arithmetic number, because the mean of its divisors is an integer number (4430261686703).

Almost surely, 2^{151205143150400} is an apocalyptic number.

151205143150400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151205143150400 is an abundant number, since it is smaller than the sum of its proper divisors (220936838532652).

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

151205143150400 is a wasteful number, since it uses less digits than its factorization.

151205143150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21037948 (or 21037933 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

Adding to 151205143150400 its reverse (4051341502151), we get a palindrome (155256484652551).

The spelling of 151205143150400 in words is "one hundred fifty-one trillion, two hundred five billion, one hundred forty-three million, one hundred fifty thousand, four hundred".