151745360 has 80 divisors (see below), whose sum is σ = 387256464. Its totient is φ = 54951936.

The previous prime is 151745359. The next prime is 151745411. The reversal of 151745360 is 63547151.

It can be written as a sum of positive squares in 8 ways, for example, as 1731856 + 150013504 = 1316^2 + 12248^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53744 + ... + 56496.

Almost surely, 2^151745360 is an apocalyptic number.

151745360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151745360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193628232).

151745360 is an abundant number, since it is smaller than the sum of its proper divisors (235511104).

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

151745360 is a wasteful number, since it uses less digits than its factorization.

151745360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 151745360 is about 12318.4966615249. The cubic root of 151745360 is about 533.3821448381.

The spelling of 151745360 in words is "one hundred fifty-one million, seven hundred forty-five thousand, three hundred sixty".