10137201840 has 480 divisors, whose sum is σ = 36867806976. Its totient is φ = 2586608640.

The previous prime is 10137201793. The next prime is 10137201901. The reversal of 10137201840 is 4810273101.

It is a super-2 number, since 2×10137201840² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56006550 + ... + 56006730.

Almost surely, 2^10137201840 is an apocalyptic number.

10137201840 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 10137201840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18433903488).

10137201840 is an abundant number, since it is smaller than the sum of its proper divisors (26730605136).

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

10137201840 is a wasteful number, since it uses less digits than its factorization.

10137201840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 10137201840 its reverse (4810273101), we get a palindrome (14947474941).

The spelling of 10137201840 in words is "ten billion, one hundred thirty-seven million, two hundred one thousand, eight hundred forty".