151746480 has 160 divisors (see below), whose sum is σ = 527109120. Its totient is φ = 40124160.

The previous prime is 151746451. The next prime is 151746481. The reversal of 151746480 is 84647151.

It is a happy number.

151746480 is a `hidden beast` number, since 1 + 5 + 1 + 7 + 4 + 648 + 0 = 666.

151746480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (151746481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351865 + ... + 352295.

It is an arithmetic number, because the mean of its divisors is an integer number (3294432).

Almost surely, 2^151746480 is an apocalyptic number.

151746480 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 151746480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263554560).

151746480 is an abundant number, since it is smaller than the sum of its proper divisors (375362640).

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

151746480 is a wasteful number, since it uses less digits than its factorization.

151746480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 151746480 is about 12318.5421215337. The cubic root of 151746480 is about 533.3834570947.

The spelling of 151746480 in words is "one hundred fifty-one million, seven hundred forty-six thousand, four hundred eighty".