153630540 has 192 divisors, whose sum is σ = 553190400. Its totient is φ = 34670592.

The previous prime is 153630539. The next prime is 153630541. The reversal of 153630540 is 45036351.

It is an interprime number because it is at equal distance from previous prime (153630539) and next prime (153630541).

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 (153630541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 366451 + ... + 366869.

It is an arithmetic number, because the mean of its divisors is an integer number (2881200).

Almost surely, 2^153630540 is an apocalyptic number.

153630540 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 153630540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276595200).

153630540 is an abundant number, since it is smaller than the sum of its proper divisors (399559860).

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

153630540 is a wasteful number, since it uses less digits than its factorization.

153630540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 153630540 is about 12394.7787394532. The cubic root of 153630540 is about 535.5818516065.

Adding to 153630540 its reverse (45036351), we get a palindrome (198666891).

The spelling of 153630540 in words is "one hundred fifty-three million, six hundred thirty thousand, five hundred forty".