36157440 has 192 divisors, whose sum is σ = 127370880. Its totient is φ = 8683520.

The previous prime is 36157427. The next prime is 36157477. The reversal of 36157440 is 4475163.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 36157398 and 36157407.

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, 337867 + ... + 337973.

It is an arithmetic number, because the mean of its divisors is an integer number (663390).

Almost surely, 2^36157440 is an apocalyptic number.

36157440 is a gapful number since it is divisible by the number (30) 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 36157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63685440).

36157440 is an abundant number, since it is smaller than the sum of its proper divisors (91213440).

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

36157440 is a wasteful number, since it uses less digits than its factorization.

36157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 36157440 is about 6013.1056867479. The cubic root of 36157440 is about 330.6733725082.

The spelling of 36157440 in words is "thirty-six million, one hundred fifty-seven thousand, four hundred forty".