153743940 has 192 divisors, whose sum is σ = 553996800. Its totient is φ = 34670592.

The previous prime is 153743929. The next prime is 153743951. The reversal of 153743940 is 49347351.

It is an interprime number because it is at equal distance from previous prime (153743929) and next prime (153743951).

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

It is a junction number, because it is equal to n+sod(n) for n = 153743895 and 153743904.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 336192 + ... + 336648.

It is an arithmetic number, because the mean of its divisors is an integer number (2885400).

Almost surely, 2^153743940 is an apocalyptic number.

153743940 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 153743940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276998400).

153743940 is an abundant number, since it is smaller than the sum of its proper divisors (400252860).

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

153743940 is a wasteful number, since it uses less digits than its factorization.

153743940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 153743940 is about 12399.3524024443. The cubic root of 153743940 is about 535.7135963420.

The spelling of 153743940 in words is "one hundred fifty-three million, seven hundred forty-three thousand, nine hundred forty".