1354960152 has 288 divisors, whose sum is σ = 4750462080. Its totient is φ = 345461760.

The previous prime is 1354960151. The next prime is 1354960177. The reversal of 1354960152 is 2510694531.

1354960152 is a `hidden beast` number, since 1 + 3 + 5 + 49 + 601 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1354960151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1421308 + ... + 1422260.

It is an arithmetic number, because the mean of its divisors is an integer number (16494660).

Almost surely, 2^1354960152 is an apocalyptic number.

1354960152 is a gapful number since it is divisible by the number (12) 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 1354960152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375231040).

1354960152 is an abundant number, since it is smaller than the sum of its proper divisors (3395501928).

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

1354960152 is a wasteful number, since it uses less digits than its factorization.

1354960152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1354960152 is about 36809.7833734457. The cubic root of 1354960152 is about 1106.5613771380.

The spelling of 1354960152 in words is "one billion, three hundred fifty-four million, nine hundred sixty thousand, one hundred fifty-two".