1374153120 has 288 divisors, whose sum is σ = 4984701120. Its totient is φ = 353548800.

The previous prime is 1374153113. The next prime is 1374153127. The reversal of 1374153120 is 213514731.

It is an interprime number because it is at equal distance from previous prime (1374153113) and next prime (1374153127).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1374153127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4151355 + ... + 4151685.

It is an arithmetic number, because the mean of its divisors is an integer number (17307990).

Almost surely, 2^1374153120 is an apocalyptic number.

1374153120 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 1374153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492350560).

1374153120 is an abundant number, since it is smaller than the sum of its proper divisors (3610548000).

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

1374153120 is a wasteful number, since it uses less digits than its factorization.

1374153120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1374153120 is about 37069.5713490189. The cubic root of 1374153120 is about 1111.7617021246.

Adding to 1374153120 its reverse (213514731), we get a palindrome (1587667851).

The spelling of 1374153120 in words is "one billion, three hundred seventy-four million, one hundred fifty-three thousand, one hundred twenty".